Question

Solve 2(4x – 3) = 2(x + 2) + 8 for x. A. x = –2 B. x = 4 C. x = 3 D. x = –5

Answer 1

Answer:

C

Step-by-step explanation:

Solve the equation by applying the distributive property and combine like terms. Then use inverse operations to isolate the variable.

2(4x – 3) = 2(x + 2) + 8           Distributive Property

8x - 6 = 2x + 4 + 8                  Add 4 + 8

8x - 6 = 2x + 12                       Add 6 to both sides

8x = 2x + 12 + 6                      Add 12 + 6

8x = 2x + 18                            Subtract 2x from both sides

8x - 2x = 18                             Subtract 8x - 2x

6x = 18                                    Divide by 6

x = 3