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(x-2)/4-(5x-2)/9=(x+5)/6
We simplify the equation to the form, which is simple to understand
(x-2)/4-(5x-2)/9=(x+5)/6
Reorder the terms in parentheses
( + 0.25x-0.5)-(5x-2)/9=(x+5)/6
Remove unnecessary parentheses
+ 0.25x-0.5-(5x-2)/9=(x+5)/6
Reorder the terms in parentheses
+ 0.25x-0.5-( + 0.55555555555556x-0.22222222222222)=(x+5)/6
Remove unnecessary parentheses
+ 0.25x-0.5-0.55555555555556x + 0.22222222222222=(x+5)/6
Reorder the terms in parentheses
+ 0.25x-0.5-0.55555555555556x + 0.22222222222222=( + 0.16666666666667x + 0.83333333333333)
Remove unnecessary parentheses
+ 0.25x-0.5-0.55555555555556x + 0.22222222222222=0.16666666666667x + 0.83333333333333
We move all terms containing x to the left and all other terms to the right.
+ 0.25x-0.55555555555556x-0.16666666666667x=0.83333333333333 + 0.5-0.22222222222222
We simplify left and right side of the equation.
-0.47222222222223x=+1.1111111111111
We divide both sides of the equation by -0.47222222222223 to get x.
x=-2.3529411764706
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