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2x+\frac{1}{7}-3x=\frac{4}{7}
Subtract 3x from both sides.
-x+\frac{1}{7}=\frac{4}{7}
Combine 2x and -3x to get -x.
-x=\frac{4}{7}-\frac{1}{7}
Subtract \frac{1}{7} from both sides.
-x=\frac{4-1}{7}
Since \frac{4}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.
-x=\frac{3}{7}
Subtract 1 from 4 to get 3.
x=-\frac{3}{7}
Multiply both sides by -1.