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4x=\frac{6}{11}\times 5
Multiply both sides by 5.
4x=\frac{6\times 5}{11}
Express \frac{6}{11}\times 5 as a single fraction.
4x=\frac{30}{11}
Multiply 6 and 5 to get 30.
x=\frac{\frac{30}{11}}{4}
Divide both sides by 4.
x=\frac{30}{11\times 4}
Express \frac{\frac{30}{11}}{4} as a single fraction.
x=\frac{30}{44}
Multiply 11 and 4 to get 44.
x=\frac{15}{22}
Reduce the fraction \frac{30}{44} to lowest terms by extracting and canceling out 2.