Linear Equations

Solve for x.

7 (x+5) + 4 (x+5) = 6x-6

A. x=5

B. x=-61/17

C. x=-61/5

D. x=21/5

C. x = - 61/5

Step-by-step explanation:

7 (x+5) + 4 (x+5) = 6x-6

First let's multiply the parenthesis parts.

7x+35 + 4x+20 = 6x-6

Combine like terms - combine all the x terms and the number terms. 7x + 4x = 11x, 35+20 = 55

11x + 55 = 6x - 6

Subtract 6x from both sides

5x + 55 = - 6

Subtract 55 from both sides

5x = - 61

x = - 61/5