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15=\frac{7}{2}x+1x
Combine \frac{1}{2}x and 3x to get \frac{7}{2}x.
15=\frac{9}{2}x
Combine \frac{7}{2}x and 1x to get \frac{9}{2}x.
\frac{9}{2}x=15
Swap sides so that all variable terms are on the left hand side.
x=15\times \frac{2}{9}
Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.
x=\frac{15\times 2}{9}
Express 15\times \frac{2}{9} as a single fraction.
x=\frac{30}{9}
Multiply 15 and 2 to get 30.
x=\frac{10}{3}
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.