Answer
$x=1$
Work Step by Step
If you have trouble following the steps below, please review the order of operations (PEMDAS) or the distributive property. Note that, because we are told that $y=0$, the expression involving $x$ is also equal to zero.
$y=\frac{1}{5x+5}-\frac{3}{x+1}+\frac{7}{5}=0$
$\frac{1}{5(x+1)}-\frac{3}{x+1}=-\frac{7}{5}$
$\frac{1}{5(x+1)}-\frac{15}{5(x+1)}=-\frac{7}{5}$
$\frac{1-15}{5(x+1)}=-\frac{7}{5}$
$\frac{-14}{5(x+1)}=-\frac{7}{5}$
$-14=-\frac{7}{5}[5(x+1)]$
$-14=-7(x+1)$
$-14=-7x-7$
$-7x=-14+7$
$-7x=-7$
$x=1$
