Solve P-25=-0.004(x-875)

$$P - 25 = - 0.004 ( x - 875 )$$

Solve for P

$$P=-\frac{x}{250}+28.5$$

Solution Steps

Use the distributive property to multiply -0.004 by x-875.

$$P-25=-0.004x+3.5$$

Add 25 to both sides.

$$P=-0.004x+3.5+25$$

Add 3.5 and 25 to get 28.5.

$$P=-0.004x+28.5$$

Solve for x

$$x=7125-250P$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.004 by x-875.

$$P-25=-0.004x+3.5$$

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

$$-0.004x+3.5=P-25$$

Subtract 3.5 from both sides.

$$-0.004x=P-25-3.5$$

Subtract 3.5 from -25 to get -28.5.

$$-0.004x=P-28.5$$

Multiply both sides by -250.

$$\frac{-0.004x}{-0.004}=\frac{P-28.5}{-0.004}$$

Dividing by -0.004 undoes the multiplication by -0.004.

$$x=\frac{P-28.5}{-0.004}$$

Divide P-28.5 by -0.004 by multiplying P-28.5 by the reciprocal of -0.004.

$$x=7125-250P$$