3-2(3-7x)=2/3(6-3x)

Solution for 3-2(3-7x)=2/3(6-3x) equation:

3-2(3-7x)=2/3(6-3x)

We simplify the equation to the form, which is simple to understand 
3-2(3-7x)=2/3(6-3x)

Reorder the terms in parentheses
3+(-6+14x)=0.66666666666667*(6-3x)

Remove unnecessary parentheses
+3-6+14x=0.66666666666667+*(+6-3x+)

Reorder the terms in parentheses
3-6+14x=+(+4-2x)

Remove unnecessary parentheses
+3-6+14x=+4-2x

We move all terms containing x to the left and all other terms to the right. 
+14x+2x=+4-3+6

We simplify left and right side of the equation. 
+16x=+7

We divide both sides of the equation by 16 to get x. 
x=0.4375