Algebra 1

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 $x=-17$