3(x-3)=2(6+x)1/2

Solution for 3(x-3)=2(6+x)1/2 equation:

3(x-3)=2(6+x)1/2

We simplify the equation to the form, which is simple to understand 
3(x-3)=2(6+x)1/2

Reorder the terms in parentheses
+(+3x-9)=2*(6+x)*0.5

Remove unnecessary parentheses
+3x-9=+2+*(+6+x+)+*0.5

Reorder the terms in parentheses
+3x-9=+(+12+2x)*0.5

Reorder the terms in parentheses
+3x-9=+(+6+1x)

Remove unnecessary parentheses
+3x-9=+6+1x

We move all terms containing x to the left and all other terms to the right. 
+3x-1x=+6+9

We simplify left and right side of the equation. 
+2x=+15

We divide both sides of the equation by 2 to get x. 
x=7.5