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