Answer
$x=\frac{1}{2}$
Work Step by Step
The best way to solve the equation is to get rid of the denominators.
Multiply both sides by the LCD, which is 8, to have:
$\\8(\frac{x}{2} = 8(\frac{1}{8}+\frac{x}{4}
\\4x=1+2x$
Combine like terms to have:
$\\4x-2x=1
\\2x=1
\\x=\frac{1}{2}$
