Question

if ax - 3b = 2x, then x = (1) $\frac{a - 3b}{2}$ (2) $\frac{b}{3a + 2}$ (3) $\frac{3b}{a - 2}$ (4) $\frac{a}{3b + 2}$

Explanation:

Step1: Isolate x - terms

Move all terms with x to one side.
$ax - 2x=3b$

Step2: Factor out x

Factor out x from the left - hand side.
$x(a - 2)=3b$

Step3: Solve for x

Divide both sides by (a - 2) to get x.
$x=\frac{3b}{a - 2}$

Answer:

(3) $\frac{3b}{a - 2}$