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(4x-3)/6-(2x+4)/9=x+1
We simplify the equation to the form, which is simple to understand
(4x-3)/6-(2x+4)/9=x+1
Reorder the terms in parentheses
( + 0.666666666667x-0.5)-(2x+4)/9=x+1
Remove unnecessary parentheses
+ 0.666666666667x-0.5-(2x+4)/9=x+1
Reorder the terms in parentheses
+ 0.666666666667x-0.5-( + 0.222222222222x + 0.444444444444)=x+1
Remove unnecessary parentheses
+ 0.666666666667x-0.5-0.222222222222x-0.444444444444=x+1
We move all terms containing x to the left and all other terms to the right.
+ 0.666666666667x-0.222222222222x-1x=+1 + 0.5 + 0.444444444444
We simplify left and right side of the equation.
-0.555555555555x=+1.94444444444
We divide both sides of the equation by -0.555555555555 to get x.
x=-3.5
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