Answer
$x=6$
Work Step by Step
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:
$\frac{5x}{5}=\frac{30}{5}
\\x=6$
