Answer
-36
Work Step by Step
$\frac{x}{3}$+2 =$\frac{x}{2}$ + 8 Multiply by LCD, 6
6$\frac{x}{3}$+2$\times$6 =6$\frac{x}{2}$ + 8$\times$6 Multiply by LCD, 6
$\frac{3\times2x}{3}$+2$\times$6 =$\frac{2\times3x}{2}$ +8$\times$6
2x+12=3x +48
2x+12-3x=3x +48-3x
-x+12=48
-x+12 -12=48 -12
-x =36
x=-36
The solution is -36
Check
Replace x with -36
$\frac{x}{3}$+2 =$\frac{x}{2}$ + 8
$\frac{-36}{3}$+2 =$\frac{-36}{2}$ + 8
$\frac{-12\times3}{3}$+2 =$\frac{-18\times2}{2}$ + 8
-12+2=-18+8
-10=-10
