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\frac{2}{3}x-\frac{3}{7}x=10
Subtract \frac{3}{7}x from both sides.
\frac{5}{21}x=10
Combine \frac{2}{3}x and -\frac{3}{7}x to get \frac{5}{21}x.
x=10\times \frac{21}{5}
Multiply both sides by \frac{21}{5}, the reciprocal of \frac{5}{21}.
x=\frac{10\times 21}{5}
Express 10\times \frac{21}{5} as a single fraction.
x=\frac{210}{5}
Multiply 10 and 21 to get 210.
x=42
Divide 210 by 5 to get 42.