## Geometry: Common Core (15th Edition)

$x=45$
$\frac{x}{3}+5=2x-70\longrightarrow$ vertical angles theorem $\frac{x}{3}+75=2x\longrightarrow$ addition property of equality $75=\frac{5}{3}x\longrightarrow$ subtraction property of equality $(75)(\frac{3}{5})=(\frac{5}{3}x)(\frac{3}{5})\longrightarrow$ multiplication property of equality $45=x$