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x\times \frac{3}{4}+75=x
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
x\times \frac{3}{4}+75-x=0
Subtract x from both sides.
-\frac{1}{4}x+75=0
Combine x\times \frac{3}{4} and -x to get -\frac{1}{4}x.
-\frac{1}{4}x=-75
Subtract 75 from both sides. Anything subtracted from zero gives its negation.
x=-75\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}.
x=300
Multiply -75 and -4 to get 300.