Equations with Distribute and Combine

In order for terms to be "like", they need to have the __________________

• same variable only

• same exponent only

• same variable and same exponent

• either same variable or same exponent

Solve for x using combine like terms:

4x + 5x + 7 – 3x + 5 = –18

Solve the equation below. Distribute FIRST and then combine like terms:

12 – 6x + 4x = 2

• x = 5

• x = 1

• x = –1

• x = –5

Solve by combining like terms:

4 = x – 6

Solve for x. Distribute then Combine Like Terms:

6x – 15 – 4x = –19

• x = –2

• x = 2

• x = 10

• x = –11

Solve for x. Distribute then Combine Like Terms:

-12x + 28 = 4

Solve for x:

8 – 4x + 5x = 13

10x + 18 = 78

• x = 5

• x = 3

• x = 4

• x = 6

-9x + 4 = 40

• x = -4

• x = 4

• x = -5

• x = 5

Solve for x by combining like terms:

2x + 9 + 3x + 3 = 5 + 12

• x = 1

• x = 3

• x = –2

• x = 4