Solve P=(Q_{s}-2)/0.10

$$P = ( Q _ { s } - 2 ) / 0.10$$

Solve for Q_s

$$Q_{s}=\frac{P+20}{10}$$

Steps for Solving Linear Equation

Divide each term of Q_{s}-2 by 0.1 to get \frac{Q_{s}}{0.1}+\frac{-2}{0.1}.

$$P=\frac{Q_{s}}{0.1}+\frac{-2}{0.1}$$

Expand \frac{-2}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$P=\frac{Q_{s}}{0.1}-20$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{Q_{s}}{0.1}-20=P$$

Add 20 to both sides.

$$\frac{Q_{s}}{0.1}=P+20$$

The equation is in standard form.

$$10Q_{s}=P+20$$

Divide both sides by 10.

$$\frac{10Q_{s}}{10}=\frac{P+20}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$Q_{s}=\frac{P+20}{10}$$

Divide P+20 by 10.

$$Q_{s}=\frac{P}{10}+2$$

Solve for P

$$P=10\left(Q_{s}-2\right)$$