What is the value of x in the equation?

Answer:
[tex]x=56[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{2(x+4)}{3}-8=32[/tex]
First, add 8 to both sides. The left cancels:
[tex]\frac{2(x+4)}{3}=40[/tex]
Multiply both sides by 3. The left cancels:
[tex]2(x+4)=120[/tex]
Divide both sides by 2:
[tex]x+4=60[/tex]
Subtract 4 from both sides:
[tex]x=56[/tex]
And we are done!