Answer
$\frac{72}{11}$
Work Step by Step
Multiply 12 (the LCD of the fractions) on both sides of the equation to obtain:
$12(\frac{2x}{3}) = 12(6-\frac{x}{4})
\\\frac{24x}{3}= 72- \frac{12x}{4}
\\8x=72-3x$
Add $3x$ on both sides of the equation to obtain:
$11x=72$
Divide 11 on both sides of the equation to obtain:
$x = \frac{72}{11}$
