Solving Equations by Combining Like Terms

6x + 3x = 18

• x = 1/2

• x = 2

• x = 6

• x = 1/3

2k - 6 + 3k = 14

• k = 20

• k = 8/5

• k = 14/11

• k = 4

7x - 4x = 27

• x = 9

• x = 27/11

• x = 11/27

• x = 1/3

6x - 5 + 7x = 34

• x = 31

• x = 31/13

• x = 3

• x = -31

After combining like terms in the following equation, what would be the result: 64x + 48 = -8x - 22 + 2x

• 64x + 48 = -10x -22

• 112 = -28x

• 64x + 48 = -6x - 22

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

Answer explanation

The first step is to combine like terms, specifically 4n and -6n, to simplify the equation. This will help in reducing the equation to a more manageable form before further operations.

Tags

CCSS.8.EE.C.7

-15 + 3x - 7x = -43

• x = 7

• x = -7

• x = 58/4

• x = -14/5

12 - 10x + 5x = -18

• x = 6/5

• x = 2

• x = 6

• x = -6

2n + 3n + 7 = -43

• n = -43/12

• n = -10

• n = -56/5

• n = 10

3h - 5h + 11 = 17

• h = -3/4

• h = -19

• h = -3

• h = 7/2