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3x=\frac{15}{2}\times 7
Multiply both sides by 7.
3x=\frac{15\times 7}{2}
Express \frac{15}{2}\times 7 as a single fraction.
3x=\frac{105}{2}
Multiply 15 and 7 to get 105.
x=\frac{\frac{105}{2}}{3}
Divide both sides by 3.
x=\frac{105}{2\times 3}
Express \frac{\frac{105}{2}}{3} as a single fraction.
x=\frac{105}{6}
Multiply 2 and 3 to get 6.
x=\frac{35}{2}
Reduce the fraction \frac{105}{6} to lowest terms by extracting and canceling out 3.