6+1/3(x-9)=1/2(2-x)

Solution for 6+1/3(x-9)=1/2(2-x) equation:

6+1/3 (x-9)=1/2 (2-x)

We simplify the equation to the form, which is simple to understand 
6+1/3(x-9)=1/2(2-x)

Simplifying:
6 + 0.333333333333*(x-9)=1/2*(2-x)

Simplifying:
6 + 0.333333333333*(x-9)=0.5*(2-x)

Reorder the terms in parentheses
6+( + 0.333333333333x-3)=0.5*(2-x)

Remove unnecessary parentheses
+6 + 0.333333333333x-3=0.5+*(+2-x+)

Reorder the terms in parentheses
6 + 0.333333333333x-3=+(+1-0.5x)

Remove unnecessary parentheses
+6 + 0.333333333333x-3=+1-0.5x

We move all terms containing x to the left and all other terms to the right. 
 + 0.333333333333x + 0.5x=+1-6+3

We simplify left and right side of the equation. 
 + 0.833333333333x=-2

We divide both sides of the equation by 0.833333333333 to get x. 
x=-2.4