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3x=7-\frac{19}{4}
Subtract \frac{19}{4} from both sides.
3x=\frac{28}{4}-\frac{19}{4}
Convert 7 to fraction \frac{28}{4}.
3x=\frac{28-19}{4}
Since \frac{28}{4} and \frac{19}{4} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{9}{4}
Subtract 19 from 28 to get 9.
x=\frac{\frac{9}{4}}{3}
Divide both sides by 3.
x=\frac{9}{4\times 3}
Express \frac{\frac{9}{4}}{3} as a single fraction.
x=\frac{9}{12}
Multiply 4 and 3 to get 12.
x=\frac{3}{4}
Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.