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(x+5)/9+x=(7x-10)/6
We simplify the equation to the form, which is simple to understand
(x+5)/9+x=(7x-10)/6
Reorder the terms in parentheses
( + 0.111111111111x + 0.555555555556)+x=(7x-10)/6
Remove unnecessary parentheses
+ 0.111111111111x + 0.555555555556+x=(7x-10)/6
Reorder the terms in parentheses
+ 0.111111111111x + 0.555555555556+x=(+1.16666666667x-1.66666666667)
Remove unnecessary parentheses
+ 0.111111111111x + 0.555555555556+x=+1.16666666667x-1.66666666667
We move all terms containing x to the left and all other terms to the right.
+ 0.111111111111x+1x-1.16666666667x=-1.66666666667-0.555555555556
We simplify left and right side of the equation.
-0.0555555555589x=-2.22222222223
We divide both sides of the equation by -0.0555555555589 to get x.
x=39.9999999977
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