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P=8.5X+\frac{2}{5}
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.
8.5X+\frac{2}{5}=P
Swap sides so that all variable terms are on the left hand side.
8.5X=P-\frac{2}{5}
Subtract \frac{2}{5} from both sides.
\frac{8.5X}{8.5}=\frac{P-\frac{2}{5}}{8.5}
Divide both sides of the equation by 8.5, which is the same as multiplying both sides by the reciprocal of the fraction.
X=\frac{P-\frac{2}{5}}{8.5}
Dividing by 8.5 undoes the multiplication by 8.5.
X=\frac{2P}{17}-\frac{4}{85}
Divide P-\frac{2}{5} by 8.5 by multiplying P-\frac{2}{5} by the reciprocal of 8.5.
P=8.5X+\frac{2}{5}
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.