Question

what is the solution for x in the equation?
-3x + 7x - 8 = 34 + 9x - 2

a. ( x = -\frac{1}{8} )
b. ( x = -8 )
c. ( x = 8 )
d. ( x = \frac{1}{8} )

Explanation:

Step1: Combine like terms on both sides

Left side: $-3x + 7x - 8 = 4x - 8$
Right side: $34 + 9x - 2 = 9x + 32$
So the equation becomes $4x - 8 = 9x + 32$.

Step2: Move all x terms to one side and constants to the other

Subtract $4x$ from both sides: $-8 = 5x + 32$
Subtract $32$ from both sides: $-40 = 5x$

Step3: Solve for x

Divide both sides by 5: $x = \frac{-40}{5} = -8$

Answer:

B. $x = -8$