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16=19+\frac{3}{4}x-17
Multiply 0.5 and 32 to get 16.
16=2+\frac{3}{4}x
Subtract 17 from 19 to get 2.
2+\frac{3}{4}x=16
Swap sides so that all variable terms are on the left hand side.
\frac{3}{4}x=16-2
Subtract 2 from both sides.
\frac{3}{4}x=14
Subtract 2 from 16 to get 14.
x=14\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{14\times 4}{3}
Express 14\times \frac{4}{3} as a single fraction.
x=\frac{56}{3}
Multiply 14 and 4 to get 56.