## College Algebra (6th Edition)

$x=7$
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. $2x-\frac{2x}{7}=\frac{x}{2}+\frac{17}{2}$ $(14)(2x-\frac{2x}{7})=(14)(\frac{x}{2}+\frac{17}{2})$ $28x-4x-7x=119$ $17x=119$ $x=7$