1/2(14x+2)=3(2-3x)

Solution for 1/2(14x+2)=3(2-3x) equation:

1/2(14x+2)=3(2-3x)

We simplify the equation to the form, which is simple to understand 
1/2(14x+2)=3(2-3x)

Simplifying:
 + 0.5*(14x+2)=3*(2-3x)

Reorder the terms in parentheses
+(+7x+1)=3*(2-3x)

Remove unnecessary parentheses
+7x+1=+3+*(+2-3x+)

Reorder the terms in parentheses
+7x+1=+(+6-9x)

Remove unnecessary parentheses
+7x+1=+6-9x

We move all terms containing x to the left and all other terms to the right. 
+7x+9x=+6-1

We simplify left and right side of the equation. 
+16x=+5

We divide both sides of the equation by 16 to get x. 
x=0.3125