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5x+7=\frac{42}{4}
Divide both sides by 4.
5x+7=\frac{21}{2}
Reduce the fraction \frac{42}{4} to lowest terms by extracting and canceling out 2.
5x=\frac{21}{2}-7
Subtract 7 from both sides.
5x=\frac{21}{2}-\frac{14}{2}
Convert 7 to fraction \frac{14}{2}.
5x=\frac{21-14}{2}
Since \frac{21}{2} and \frac{14}{2} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{7}{2}
Subtract 14 from 21 to get 7.
x=\frac{\frac{7}{2}}{5}
Divide both sides by 5.
x=\frac{7}{2\times 5}
Express \frac{\frac{7}{2}}{5} as a single fraction.
x=\frac{7}{10}
Multiply 2 and 5 to get 10.