Solve px-1=4x+p

$$p x - 1 = 4 x + p$$

Solve for p

$$p=\frac{4x+1}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Subtract p from both sides.

$$px-1-p=4x$$

Add 1 to both sides.

$$px-p=4x+1$$

Combine all terms containing p.

$$\left(x-1\right)p=4x+1$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)p}{x-1}=\frac{4x+1}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$p=\frac{4x+1}{x-1}$$

Solve for x

$$x=\frac{p+1}{p-4}$$

$$p\neq 4$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$px-1-4x=p$$

Add 1 to both sides.

$$px-4x=p+1$$

Combine all terms containing x.

$$\left(p-4\right)x=p+1$$

Divide both sides by p-4.

$$\frac{\left(p-4\right)x}{p-4}=\frac{p+1}{p-4}$$

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

$$x=\frac{p+1}{p-4}$$