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-\frac{2}{3}x+2+3x=10
Add 3x to both sides.
\frac{7}{3}x+2=10
Combine -\frac{2}{3}x and 3x to get \frac{7}{3}x.
\frac{7}{3}x=10-2
Subtract 2 from both sides.
\frac{7}{3}x=8
Subtract 2 from 10 to get 8.
x=8\times \frac{3}{7}
Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.
x=\frac{8\times 3}{7}
Express 8\times \frac{3}{7} as a single fraction.
x=\frac{24}{7}
Multiply 8 and 3 to get 24.