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5(x+1)/6=2x-2
We simplify the equation to the form, which is simple to understand
5(x+1)/6=2x-2
Reorder the terms in parentheses
+(+5x+5)/6=2x-2
Reorder the terms in parentheses
+( + 0.83333333333333x + 0.83333333333333)=2x-2
Remove unnecessary parentheses
+ 0.83333333333333x + 0.83333333333333=+2x-2
We move all terms containing x to the left and all other terms to the right.
+ 0.83333333333333x-2x=-2-0.83333333333333
We simplify left and right side of the equation.
-1.1666666666667x=-2.8333333333333
We divide both sides of the equation by -1.1666666666667 to get x.
x=2.4285714285714
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