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32=2+\frac{3}{4}x
Subtract 17 from 19 to get 2.
2+\frac{3}{4}x=32
Swap sides so that all variable terms are on the left hand side.
\frac{3}{4}x=32-2
Subtract 2 from both sides.
\frac{3}{4}x=30
Subtract 2 from 32 to get 30.
x=30\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{30\times 4}{3}
Express 30\times \frac{4}{3} as a single fraction.
x=\frac{120}{3}
Multiply 30 and 4 to get 120.
x=40
Divide 120 by 3 to get 40.