## Precalculus (6th Edition)

$x=6$
Multiply 6 to both sides of the equation: $6(\frac{x}{2} + \frac{4}{3}x)=6(x+5) \\6(\frac{x}{2}) + 6(\frac{4}{3}x)=6(x)+6(5) \\3x+8x=6x+30 \\11x=6x+30$ Subtract $6x$ to both sides of the equation to obtain: $11x-6x=6x+30-6x \\5x=30$ Divide $5$ to both sides: $\frac{5x}{5}=\frac{30}{5} \\x=6$