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\frac{9}{20}x+7000=x
Combine \frac{x}{4} and \frac{x}{5} to get \frac{9}{20}x.
\frac{9}{20}x+7000-x=0
Subtract x from both sides.
-\frac{11}{20}x+7000=0
Combine \frac{9}{20}x and -x to get -\frac{11}{20}x.
-\frac{11}{20}x=-7000
Subtract 7000 from both sides. Anything subtracted from zero gives its negation.
x=-7000\left(-\frac{20}{11}\right)
Multiply both sides by -\frac{20}{11}, the reciprocal of -\frac{11}{20}.
x=\frac{-7000\left(-20\right)}{11}
Express -7000\left(-\frac{20}{11}\right) as a single fraction.
x=\frac{140000}{11}
Multiply -7000 and -20 to get 140000.