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96+\frac{7}{25}x=x
Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.
96+\frac{7}{25}x-x=0
Subtract x from both sides.
96-\frac{18}{25}x=0
Combine \frac{7}{25}x and -x to get -\frac{18}{25}x.
-\frac{18}{25}x=-96
Subtract 96 from both sides. Anything subtracted from zero gives its negation.
x=-96\left(-\frac{25}{18}\right)
Multiply both sides by -\frac{25}{18}, the reciprocal of -\frac{18}{25}.
x=\frac{-96\left(-25\right)}{18}
Express -96\left(-\frac{25}{18}\right) as a single fraction.
x=\frac{2400}{18}
Multiply -96 and -25 to get 2400.
x=\frac{400}{3}
Reduce the fraction \frac{2400}{18} to lowest terms by extracting and canceling out 6.