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8+\frac{3x}{7}-x=0
Subtract x from both sides.
\frac{3x}{7}-x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
3x-7x=-56
Multiply both sides of the equation by 7.
-4x=-56
Combine 3x and -7x to get -4x.
x=\frac{-56}{-4}
Divide both sides by -4.
x=14
Divide -56 by -4 to get 14.