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x+\frac{4}{3}x=5
Add \frac{4}{3}x to both sides.
\frac{7}{3}x=5
Combine x and \frac{4}{3}x to get \frac{7}{3}x.
x=5\times \frac{3}{7}
Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.
x=\frac{5\times 3}{7}
Express 5\times \frac{3}{7} as a single fraction.
x=\frac{15}{7}
Multiply 5 and 3 to get 15.