Question

solve for x.
-8x - 48 = 8(x - 4)
simplify your answer as much as possible.
x =

Explanation:

Step1: Expand the right - hand side

$8(x - 4)=8x-32$, so the equation becomes $-8x - 48=8x-32$.

Step2: Add $8x$ to both sides

$-8x+8x - 48=8x+8x-32$, which simplifies to $-48 = 16x-32$.

Step3: Add 32 to both sides

$-48 + 32=16x-32 + 32$, resulting in $-16 = 16x$.

Step4: Divide both sides by 16

$\frac{-16}{16}=\frac{16x}{16}$, so $x=-1$.

Answer:

$x=-1$