Combining Like Terms Algebra 1 Homework Checker

Combine Like Terms

A frequently-used procedure in algebra is the process of combining like terms. This is a way to "clean-up" an equation and make it much easier to solve. In case you've forgotten, a term is each single part of an expression. For example, in the expression \(4x + 3 + 7y\), there are three terms: \(4x\), \(3\), and \(7y\). The number 4 by itself is not a term, but rather a factor of the term \(4x\).

Let's say we are given the equation below. It looks very complicated, but if we look carefully, everything is either a constant (a number), or the variable x with a coefficient (4x). By the way, a coefficient is the number by which a variable is being multiplied (the 4 in 4x is the coefficient).

$$ 15+4x+10-3x = 5x+6+3x-2 $$

The "like terms" in the equation above are ones that have the same variable. All constants are like terms as well. This means that the 15, 10, 6, and -2 are all one set of like terms, and the other is 4x, -3x, 5x, and 3x. To combine them is pretty easy, you just add them together and make sure that they are all on the same side of the equation. First, we will combine all like terms on each side of the equation:

Since the 15 and 10 are both constants we combine them to get 25. The 4x and -3x each have the same variable (x), so we can add them to get 1x. Doing the same on the other side we arrive at 25 + 1x = 4 + 8x. The process is still not finished, however. There are still some like terms, but they are on opposite sides of the equal sign. Since we can do the same thing to both sides we just subtract 4 from each side and subtract 1x from each side:

Now it's just a simple process of dividing by seven on each side:

And we arrive at our answer of x=3. Combining like terms enabled you to take that huge mess of an equation and make it into something much more obvious. If you still are not sure about combining like terms, or are interested in more information, please visit our message board. Alternatively you can try another lesson on combining like terms from AlgebraHelp.com, or this lesson from Math.com.

Carol H.

Brownsburg, IN

combining like terms of 2(3a^2 + 2ab – 4b) – (2a^2 + 4ab – 5b)

 i need help with homework

Mar 6 | Hunter from Casa Grande, AZ | 1 Answer | 0 Votes

Math, Algebra, Equation, ProblemCombining Like Terms

Andrew M.

Palm Bay, FL

how do you combine like terms of 32y+5y

I need to combine like terms and I don't know how. Show me how.  

Mar 5 | Xionne from Jamaica, NY | 1 Answer | 0 Votes

Combining Like TermsNo answers ... yet!

Combine like terms

14a  

Feb 25 | Alex from Chicago, IL | 0 Answers | -1 Votes

Combining Like Terms

Mark M.

Carson, CA

When combining like terms that are both negative and the same do they cancel out or do I subtract them for example -8x-8x

combining like terms

Feb 6 | Ousmane from Columbus, OH | 1 Answer | 0 Votes

Combining Like Terms

Edward A.

Red Bluff, CA

simplify expression by combinign like tersm 6m = 2m - 5

Need help resolving above question

Jan 26 | A from Streamwood, IL | 1 Answer | 0 Votes

Combining Like Terms

Andrew M.

Palm Bay, FL

If the bus takes 2(4n+7) minutes to get to school but on the way home it only takes 2(3n -2) minutes, how much shorter is it to get home?

how would u solve this. can someone please explain this step by step to me? please thank u 

Sep 18 | Laxmi from Elmhurst, NY | 1 Answer | 0 Votes

Combining Like Terms

Franco D.

Deerfield Beach, FL

What's 20+13x-5+5x+9

I don't know how to combin like terms with varibles and usin distributive property 

1/19/2017 | Taleah from Louisville, KY | 2 Answers | 0 Votes

Combining Like Terms

Leonard S.

Pennsauken, NJ

how do you combine like terms

Combing like terms is kind of hard for me. Can you help me understand the concept

7/6/2016 | Honey from Silver Spring, MD | 1 Answer | 0 Votes

Combining Like Terms

Mark M.

Carson, CA

Use factoring

factor. Use factoring by grouping even though it would seem reasonable to first combine like terms .    6s^2+4s+9s+6=

8/2/2016 | Dan from Lithia Springs, GA | 3 Answers | 0 Votes

FactoringCombining Like Terms

Michael B.

Columbus, OH

how do you combine like terms when the unkown is a dividend? ex: y=x/2+x

I would think that you would multiply both sides by 2 to get 2y=x+x, but this doesn't seem to be working for me and I keep coming to an answer that doesn't work when plugged into the original...

Combining Like Terms

Mark M.

Carson, CA

Find x where 0 is less than or equal to x is greater than or equal to 3pi/2

5 sqrt(3) sin(x)= 3+3sqrt(3) sin(x)

TrigonometryCombining Like Terms

Mark M.

Carson, CA

what is 4b-5-10b-8

I need solve combining like terms to solve the problem

6/20/2016 | Shaquanna from Salisbury, MD | 1 Answer | 0 Votes

Combining Like Terms

Sherry S.

Mesquite, TX

Combining like terms: n-10+9n-3

N-10+9n-3

5/19/2016 | Tyler from Covington, GA | 1 Answer | 0 Votes

Combining Like Terms

Andrew M.

Palm Bay, FL

whats the combined like term of 2g+7-6g

 how to figure out the answer to combined like terms

2/2/2016 | TEE from Broken Arrow, OK | 2 Answers | 0 Votes

Combining Like Terms

Jesse L.

El Paso, TX

I need an anwser on 9y+6y-2 I already did it i just need to know if im doing it correct...

I need an anwser on 9y+6y-2 I already did it i just need to know if im doing it correct...

9/19/2014 | Nicole from Plymouth, WI | 2 Answers | 0 Votes

Combining Like Terms

Nathan B.

Las Vegas, NV

What does combining like terms look like

I need to know this for homework tonight

10/22/2014 | Alain from San Jose, CA | 2 Answers | 0 Votes

Combining Like Terms

Amanda Y.

Silver Spring, MD

8w + ___ + 16n - ___ =17w - 5n

8w + ___ + 16n - ___ =17w - 5n Help me please :/

2/3/2015 | Jhayce from Baton Rouge, LA | 1 Answer | 0 Votes

Combining Like Terms

Jimmy E.

Columbus, MS

how do you put the squared sign using a computer?

how do you put the squared 2 symbol in the equation using a computer? is there a key to do it?

8/21/2014 | Jen from Nashville, TN | 2 Answers | 0 Votes

Combining Like Terms

George T.

Ambler, PA

What is the solution

4x - 2 = 4x - 2

9/17/2013 | Gigi from Stuart, FL | 4 Answers | 0 Votes

Combining Like Terms

Bethann D.

Gettysburg, PA

How would you solve (a+3)+(2a-8)+(3a-3)+(a-1) using like terms?

This is based off a question in my algebra 1 book. In the chapter it asks about combing like terms. Please help    

9/3/2013 | Evan from Kalispell, MT | 1 Answer | 1 Vote

Combine ICombining Like Terms
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