(x-2)/3-(x-4)/5=(x-6)/7

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Solution for (x-2)/3-(x-4)/5=(x-6)/7 equation:


(x-2)/3-(x-4)/5=(x-6)/7

We simplify the equation to the form, which is simple to understand
(x-2)/3-(x-4)/5=(x-6)/7

Reorder the terms in parentheses
( + 0.33333333333333x-0.66666666666667)-(x-4)/5=(x-6)/7

Remove unnecessary parentheses
+ 0.33333333333333x-0.66666666666667-(x-4)/5=(x-6)/7

Reorder the terms in parentheses
+ 0.33333333333333x-0.66666666666667-( + 0.2x-0.8)=(x-6)/7

Remove unnecessary parentheses
+ 0.33333333333333x-0.66666666666667-0.2x + 0.8=(x-6)/7

Reorder the terms in parentheses
+ 0.33333333333333x-0.66666666666667-0.2x + 0.8=( + 0.14285714285714x-0.85714285714286)

Remove unnecessary parentheses
+ 0.33333333333333x-0.66666666666667-0.2x + 0.8=0.14285714285714x-0.85714285714286

We move all terms containing x to the left and all other terms to the right.
+ 0.33333333333333x-0.2x-0.14285714285714x=-0.85714285714286 + 0.66666666666667-0.8

We simplify left and right side of the equation.
-0.0095238095238067x=-0.99047619047619

We divide both sides of the equation by -0.0095238095238067 to get x.
x=104.00000000003

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