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x=\frac{2}{7}x+\frac{3}{7}
Divide each term of 2x+3 by 7 to get \frac{2}{7}x+\frac{3}{7}.
x-\frac{2}{7}x=\frac{3}{7}
Subtract \frac{2}{7}x from both sides.
\frac{5}{7}x=\frac{3}{7}
Combine x and -\frac{2}{7}x to get \frac{5}{7}x.
x=\frac{3}{7}\times \frac{7}{5}
Multiply both sides by \frac{7}{5}, the reciprocal of \frac{5}{7}.
x=\frac{3\times 7}{7\times 5}
Multiply \frac{3}{7} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{5}
Cancel out 7 in both numerator and denominator.