Answer
$x=\dfrac{m+4}{2m+5}$
Work Step by Step
$3x=(2x-1)(m+4)$
Evaluate the product on the right side:
$3x=2mx+8x-m-4$
Take all the terms with $x$ to the left side:
$3x-2mx-8x=-m-4$
Simplify the left side:
$-5x-2mx=-m-4$
Change the sign of all terms on both sides of the equation:
$5x+2mx=m+4$
Take out common factor $x$ from the left side:
$x(2m+5)=m+4$
Take $2m+5$ to divide the right side:
$x=\dfrac{m+4}{2m+5}$
