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

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

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

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

Simplifying:
2*(9-x)=1*(x + 0.5)+3*(x-6)

Reorder the terms in parentheses
+(+18-2x)=1*(x + 0.5)+3*(x-6)

Remove unnecessary parentheses
+18-2x=+1+*(+x + 0.5+)+3+*(+x-6+)

Reorder the terms in parentheses
+18-2x=+(+1x + 0.5)+3*(x-6)

Remove unnecessary parentheses
+18-2x=+1x + 0.5+3+*(+x-6+)

Reorder the terms in parentheses
+18-2x=+1x + 0.5+(+3x-18)

Remove unnecessary parentheses
+18-2x=+1x + 0.5+3x-18

We move all terms containing x to the left and all other terms to the right. 
-2x-1x-3x=0.5-18-18

We simplify left and right side of the equation. 
-6x=-35.5

We divide both sides of the equation by -6 to get x. 
x=5.91666666667