## Precalculus (6th Edition)

$x=\dfrac{m+4}{2m+5}$
$3x=(2x-1)(m+4)$ 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: $x=\dfrac{m+4}{2m+5}$