Solve P(-x)+P(2x)=4x+10

$$P ( - x ) + P ( 2 x ) = 4 x + 10$$

Solve for P

$$P=4+\frac{10}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Combine P\left(-1\right)x and P\times 2x to get Px.

$$Px=4x+10$$

The equation is in standard form.

$$xP=4x+10$$

Divide both sides by x.

$$\frac{xP}{x}=\frac{4x+10}{x}$$

Dividing by x undoes the multiplication by x.

$$P=\frac{4x+10}{x}$$

Divide 10+4x by x.

$$P=4+\frac{10}{x}$$

Solve for x

$$x=\frac{10}{P-4}$$

$$P\neq 4$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$P\left(-x\right)+P\times 2x-4x=10$$

Combine P\left(-1\right)x and P\times 2x to get Px.

$$Px-4x=10$$

Combine all terms containing x.

$$\left(P-4\right)x=10$$

Divide both sides by P-4.

$$\frac{\left(P-4\right)x}{P-4}=\frac{10}{P-4}$$

Dividing by P-4 undoes the multiplication by P-4.

$$x=\frac{10}{P-4}$$