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2x=\frac{8}{5}\times 3
Multiply both sides by 3.
2x=\frac{8\times 3}{5}
Express \frac{8}{5}\times 3 as a single fraction.
2x=\frac{24}{5}
Multiply 8 and 3 to get 24.
x=\frac{\frac{24}{5}}{2}
Divide both sides by 2.
x=\frac{24}{5\times 2}
Express \frac{\frac{24}{5}}{2} as a single fraction.
x=\frac{24}{10}
Multiply 5 and 2 to get 10.
x=\frac{12}{5}
Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.