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\frac{7}{6}x=10
Combine \frac{2}{3}x and \frac{1}{2}x to get \frac{7}{6}x.
x=10\times \frac{6}{7}
Multiply both sides by \frac{6}{7}, the reciprocal of \frac{7}{6}.
x=\frac{10\times 6}{7}
Express 10\times \frac{6}{7} as a single fraction.
x=\frac{60}{7}
Multiply 10 and 6 to get 60.