question\nsolve for x:\n-3x - 7 = -8x - 57

Explanation:

Step1: Add (8x) to both sides

$$ \begin{align*} -3x - 7+8x&=-8x - 57+8x\ 5x-7&=- 57 \end{align*} $$

Step2: Add (7) to both sides

$$ \begin{align*} 5x-7 + 7&=-57+7\ 5x&=-50 \end{align*} $$

Step3: Divide both sides by (5)

$$ \begin{align*} \frac{5x}{5}&=\frac{-50}{5}\ x&=-10 \end{align*} $$

Answer:

(x = - 10)