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(2x-1)/(3)-(4x-7)/(5)=(2-5x)/(9)
We simplify the equation to the form, which is simple to understand
(2x-1)/(3)-(4x-7)/(5)=(2-5x)/(9)
Reorder the terms in parentheses
dividing of parentheses
( + 0.666666666667x-0.333333333333)-(4x-7)/(5)=(2-5x)/(9)
Remove unnecessary parentheses
+ 0.666666666667x-0.333333333333-(4x-7)/(5)=(2-5x)/(9)
Reorder the terms in parentheses
dividing of parentheses
+ 0.666666666667x-0.333333333333-( + 0.8x-1.4)=(2-5x)/(9)
Remove unnecessary parentheses
+ 0.666666666667x-0.333333333333-0.8x+1.4=(2-5x)/(9)
Reorder the terms in parentheses
dividing of parentheses
+ 0.666666666667x-0.333333333333-0.8x+1.4=( + 0.222222222222-0.555555555556x)
Remove unnecessary parentheses
+ 0.666666666667x-0.333333333333-0.8x+1.4=0.222222222222-0.555555555556x
We move all terms containing x to the left and all other terms to the right.
+ 0.666666666667x-0.8x + 0.555555555556x=0.222222222222 + 0.333333333333-1.4
We simplify left and right side of the equation.
+ 0.422222222223x=-0.844444444445
We divide both sides of the equation by 0.422222222223 to get x.
x=-2
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