Answer
x=-17
Work Step by Step
Use cross multiplication since the variable is in the numerator and the denominator.
$\frac{x+2}{2x-6}=\frac{3}{8}$ cross multiply
$8(x+2)=3(2x-6)$ distributive property
$8x+16=6x-18$ subtract 6x from both sides; subtract 16 from both sides
$8x+16-6x-16=6x-18-6x-16$ combine like terms
$2x=-34$ divide both sides by 2
$2x\div2=-34\div2$ simplify
$x=-17$
