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147-\frac{x}{4}-x=0
Subtract x from both sides.
147-\frac{5}{4}x=0
Combine -\frac{x}{4} and -x to get -\frac{5}{4}x.
-\frac{5}{4}x=-147
Subtract 147 from both sides. Anything subtracted from zero gives its negation.
x=-147\left(-\frac{4}{5}\right)
Multiply both sides by -\frac{4}{5}, the reciprocal of -\frac{5}{4}.
x=\frac{-147\left(-4\right)}{5}
Express -147\left(-\frac{4}{5}\right) as a single fraction.
x=\frac{588}{5}
Multiply -147 and -4 to get 588.