Solve for x
x=\frac{4}{7}\approx 0.571428571
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3x+10\times \frac{-2+5}{7}=6
Since -\frac{2}{7} and \frac{5}{7} have the same denominator, add them by adding their numerators.
3x+10\times \frac{3}{7}=6
Add -2 and 5 to get 3.
3x+\frac{10\times 3}{7}=6
Express 10\times \frac{3}{7} as a single fraction.
3x+\frac{30}{7}=6
Multiply 10 and 3 to get 30.
3x=6-\frac{30}{7}
Subtract \frac{30}{7} from both sides.
3x=\frac{42}{7}-\frac{30}{7}
Convert 6 to fraction \frac{42}{7}.
3x=\frac{42-30}{7}
Since \frac{42}{7} and \frac{30}{7} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{12}{7}
Subtract 30 from 42 to get 12.
x=\frac{\frac{12}{7}}{3}
Divide both sides by 3.
x=\frac{12}{7\times 3}
Express \frac{\frac{12}{7}}{3} as a single fraction.
x=\frac{12}{21}
Multiply 7 and 3 to get 21.
x=\frac{4}{7}
Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.
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