Answer
$x=\frac{-11}{5}$
Work Step by Step
Write out the equation
$\frac{5}{8}x+\frac{1}{16}x=\frac{11}{16}+x$
Give $\frac{5}{8}x$ and $x$ the common denominator 16 by multiply by 1 ($\frac{2}{2}$ and $\frac{16}{16}$ respectively)
$\frac{5}{8}x*\frac{2}{2}=\frac{10}{16}x$
$x*\frac{16}{16}=\frac{16}{16}x$
Insert back into equation
$\frac{10}{16}x\frac{1}{16}x=\frac{11}{16}+\frac{16}{16}x$
Combine like terms
$\frac{11}{16}x=\frac{11}{16}+\frac{16}{16}x$
$\frac{-5}{16}x=\frac{11}{16}$
Isolate x by multiply the entire equation by the reciprocal of $x$'s coefficient
$\frac{16}{-5}(\frac{-5}{16}x=\frac{11}{16})$
$x=\frac{-11}{5}$
