Solve 10-0.5P=2+0.10P

$$10 - 0.5 P = 2 + 0.10 P$$

Solve for P

$$P = \frac{40}{3} = 13\frac{1}{3} \approx 13.333333333$$

Steps for Solving Linear Equation

Subtract 0.1P from both sides.

$$10-0.5P-0.1P=2$$

Combine -0.5P and -0.1P to get -0.6P.

$$10-0.6P=2$$

Subtract 10 from both sides.

$$-0.6P=2-10$$

Subtract 10 from 2 to get -8.

$$-0.6P=-8$$

Divide both sides by -0.6.

$$P=\frac{-8}{-0.6}$$

Expand \frac{-8}{-0.6} by multiplying both numerator and the denominator by 10.

$$P=\frac{-80}{-6}$$

Reduce the fraction \frac{-80}{-6} to lowest terms by extracting and canceling out -2.

$$P=\frac{40}{3}$$