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\frac{2}{3}x=25+75
Add 75 to both sides.
\frac{2}{3}x=100
Add 25 and 75 to get 100.
x=100\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{100\times 3}{2}
Express 100\times \frac{3}{2} as a single fraction.
x=\frac{300}{2}
Multiply 100 and 3 to get 300.
x=150
Divide 300 by 2 to get 150.