Question

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

Answer 1

C. x = -61/5

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