Solve 4*(x-9)=x+p

$$4 \cdot ( x - 9 ) = x + p$$

Solve for p

$$p=3\left(x-12\right)$$

Solution Steps

Use the distributive property to multiply 4 by x-9.

$$4x-36=x+p$$

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

$$x+p=4x-36$$

Subtract x from both sides.

$$p=4x-36-x$$

Combine 4x and -x to get 3x.

$$p=3x-36$$

Solve for x

$$x=\frac{p+36}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-9.

$$4x-36=x+p$$

Subtract x from both sides.

$$4x-36-x=p$$

Combine 4x and -x to get 3x.

$$3x-36=p$$

Add 36 to both sides.

$$3x=p+36$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{p+36}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{p+36}{3}$$

Divide p+36 by 3.

$$x=\frac{p}{3}+12$$