Answer
$x=\dfrac{2a+3b}{a-2b}$
Work Step by Step
$a(x-2)=b(2x+3)$ $,$ Solve for $x$:
Evaluate the products on both sides of the equation:
$ax-2a=2bx+3b$
Take $2bx$ to the left side and $2a$ to the right side:
$ax-2bx=2a+3b$
Take out common factor $x$ from the left side:
$x(a-2b)=2a+3b$
Take $a-2b$ to divide the right side:
$x=\dfrac{2a+3b}{a-2b}$
