Answer
$x=10$
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 20, to have:
$\\20(\frac{x}{4}) = 20(\frac{3}{2}+\frac{x}{10})
\\5x=30+2x$
Combine like terms to have:
$\\5x-2x=30
\\3x=30
\\x=10$
