Solve (p+1)x=5-2p

$$( p + 1 ) x = 5 - 2 p$$

Solve for p

$$p=-\frac{x-5}{x+2}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Use the distributive property to multiply p+1 by x.

$$px+x=5-2p$$

Add 2p to both sides.

$$px+x+2p=5$$

Subtract x from both sides.

$$px+2p=5-x$$

Combine all terms containing p.

$$\left(x+2\right)p=5-x$$

Divide both sides by x+2.

$$\frac{\left(x+2\right)p}{x+2}=\frac{5-x}{x+2}$$

Dividing by x+2 undoes the multiplication by x+2.

$$p=\frac{5-x}{x+2}$$

Solve for x

$$x=-\frac{2p-5}{p+1}$$

$$p\neq -1$$

Steps for Solving Linear Equation

Use the distributive property to multiply p+1 by x.

$$px+x=5-2p$$

Combine all terms containing x.

$$\left(p+1\right)x=5-2p$$

Divide both sides by p+1.

$$\frac{\left(p+1\right)x}{p+1}=\frac{5-2p}{p+1}$$

Dividing by p+1 undoes the multiplication by p+1.

$$x=\frac{5-2p}{p+1}$$