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2.4x=\frac{4}{5}
Combine 5.3x and -2.9x to get 2.4x.
x=\frac{\frac{4}{5}}{2.4}
Divide both sides by 2.4.
x=\frac{4}{5\times 2.4}
Express \frac{\frac{4}{5}}{2.4} as a single fraction.
x=\frac{4}{12}
Multiply 5 and 2.4 to get 12.
x=\frac{1}{3}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.