## Algebra 1: Common Core (15th Edition)

$x=-2$
Given : $\frac{x+4}{2x} = \frac{2}{2x}$ This becomes : $x+4=2$ (After multiplying both the sides by $2x$) Thus, $x=2-4=-2$ Checking by putting the value $x=-2$ in the original equation : Left Hand Side, $LHS = \frac{-2+4}{2\times-2}=\frac{-2}{4}=\frac{-1}{2}$ Right Hand Side, $RHS=\frac{2}{2\times-2}=\frac{-1}{2}$ Thus, $LHS=RHS$