Answer
$x=7$
Work Step by Step
First, determine the least common denominator of the original problem by multiplying the denominators together. Next, distribute the numbers and then get $x$ to one side. Then divide both sides to get the final answer.
$2x-\frac{2x}{7}=\frac{x}{2}+\frac{17}{2}$
$(14)(2x-\frac{2x}{7})=(14)(\frac{x}{2}+\frac{17}{2})$
$28x-4x-7x=119$
$17x=119$
$x=7$
