1/6(x+2)=2x-3(4-x)-7

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Solution for 1/6(x+2)=2x-3(4-x)-7 equation:


1/6(x+2)=2x-3(4-x)-7

We simplify the equation to the form, which is simple to understand
1/6(x+2)=2x-3(4-x)-7

Simplifying:
+ 0.166666666667*(x+2)=2x-3*(4-x)-7

Reorder the terms in parentheses
+( + 0.166666666667x + 0.333333333333)=2x-3*(4-x)-7

Remove unnecessary parentheses
+ 0.166666666667x + 0.333333333333=+2x-3+*(+4-x+)-7

Reorder the terms in parentheses
+ 0.166666666667x + 0.333333333333=2x+(-12+3x)-7

Remove unnecessary parentheses
+ 0.166666666667x + 0.333333333333=+2x-12+3x-7

We move all terms containing x to the left and all other terms to the right.
+ 0.166666666667x-2x-3x=-12-7-0.333333333333

We simplify left and right side of the equation.
-4.83333333333x=-19.3333333333

We divide both sides of the equation by -4.83333333333 to get x.
x=4

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