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\frac{7}{3}x+2=23
Combine \frac{1}{3}x and 2x to get \frac{7}{3}x.
\frac{7}{3}x=23-2
Subtract 2 from both sides.
\frac{7}{3}x=21
Subtract 2 from 23 to get 21.
x=21\times \frac{3}{7}
Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.
x=\frac{21\times 3}{7}
Express 21\times \frac{3}{7} as a single fraction.
x=\frac{63}{7}
Multiply 21 and 3 to get 63.
x=9
Divide 63 by 7 to get 9.