## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=-17$
Solving the equation will be easier if there are no fractions involved. The fractions can be eliminated by multiplying the LCD of $12$ to both sides of the equation: $12(\frac{1}{4}x-\frac{2}{3})=12(\frac{3}{4}+\frac{1}{3}x) \\12(\frac{1}{4}x)-12(\frac{2}{3})=12(\frac{3}{4})+12(\frac{1}{3}x) \\3x-8=9+4x$ Subtract $3x$ and subtract $9$ to both sides of the equation then combine like terms to obtain: $3x-8-3x-9=9+4x-3x-9 \\-17=x$