Solve P-30=1/3(x-30)

$$P - 30 = \frac { 1 } { 3 } ( x - 30 )$$

Solve for P

$$P=\frac{x+60}{3}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by x-30.

$$P-30=\frac{1}{3}x-10$$

Add 30 to both sides.

$$P=\frac{1}{3}x-10+30$$

Add -10 and 30 to get 20.

$$P=\frac{1}{3}x+20$$

Solve for x

$$x=3\left(P-20\right)$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by x-30.

$$P-30=\frac{1}{3}x-10$$

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

$$\frac{1}{3}x-10=P-30$$

Add 10 to both sides.

$$\frac{1}{3}x=P-30+10$$

Add -30 and 10 to get -20.

$$\frac{1}{3}x=P-20$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{P-20}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{P-20}{\frac{1}{3}}$$

Divide P-20 by \frac{1}{3} by multiplying P-20 by the reciprocal of \frac{1}{3}.

$$x=3P-60$$