Question

solve for the value of (x).

Explanation:

Step1: Identify vertical - angles property

Vertical angles are equal. So, $5x - 8=8x - 2$.

Step2: Rearrange the equation

Subtract $5x$ from both sides: $- 8=8x - 5x-2$.

Step3: Simplify the right - hand side

$-8 = 3x-2$.

Step4: Add 2 to both sides

$-8 + 2=3x$, which gives $-6 = 3x$.

Step5: Solve for x

Divide both sides by 3: $x=\frac{-6}{3}=-2$.

Answer:

$x=-2$