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(1/2)x-(2/3)=(5/8)x-(2/9)
We simplify the equation to the form, which is simple to understand
(1/2)x-(2/3)=(5/8)x-(2/9)
Simplifying:
( + 0.5)*x-(2/3)=(5/8)*x-(2/9)
Simplifying:
( + 0.5)*x-( + 0.666666666667)=(5/8)*x-(2/9)
Simplifying:
( + 0.5)*x-( + 0.666666666667)=( + 0.625)*x-(2/9)
Simplifying:
( + 0.5)*x-( + 0.666666666667)=( + 0.625)*x-( + 0.222222222222)
Reorder the terms in parentheses
( + 0.5x)-( + 0.666666666667)=( + 0.625)*x-( + 0.222222222222)
Remove unnecessary parentheses
+ 0.5x-( + 0.666666666667)=( + 0.625)*x-( + 0.222222222222)
Remove unnecessary parentheses
+ 0.5x-0.666666666667=( + 0.625)*x-( + 0.222222222222)
Reorder the terms in parentheses
+ 0.5x-0.666666666667=( + 0.625x)-( + 0.222222222222)
Remove unnecessary parentheses
+ 0.5x-0.666666666667=0.625x-( + 0.222222222222)
Remove unnecessary parentheses
+ 0.5x-0.666666666667=0.625x-0.222222222222
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.625x=-0.222222222222 + 0.666666666667
We simplify left and right side of the equation.
-0.125x=0.444444444445
We divide both sides of the equation by -0.125 to get x.
x=-3.55555555556
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