1/3(x-3)=3x-2(x-1)+7/3

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Solution for 1/3(x-3)=3x-2(x-1)+7/3 equation:


1/3(x-3)=3x-2(x-1)+7/3

We simplify the equation to the form, which is simple to understand 
1/3(x-3)=3x-2(x-1)+7/3

Simplifying:
 + 0.333333333333*(x-3)=3x-2*(x-1)+7/3

Simplifying:
 + 0.333333333333*(x-3)=3x-2*(x-1)+2.33333333333

Reorder the terms in parentheses
+( + 0.333333333333x-1)=3x-2*(x-1)+2.33333333333

Remove unnecessary parentheses
 + 0.333333333333x-1=+3x-2+*(+x-1+)+2.33333333333

Reorder the terms in parentheses
 + 0.333333333333x-1=3x+(-2x+2)+2.33333333333

Remove unnecessary parentheses
 + 0.333333333333x-1=+3x-2x+2+2.33333333333

We move all terms containing x to the left and all other terms to the right. 
 + 0.333333333333x-3x+2x=+2+2.33333333333+1

We simplify left and right side of the equation. 
-0.666666666667x=+5.33333333333

We divide both sides of the equation by -0.666666666667 to get x. 
x=-8

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