Solve x+4=2(y+4)

$$x+4=2(y+4)$$

Solve for x

$$x=2\left(y+2\right)$$

Solution Steps

Use the distributive property to multiply 2 by y+4.

$$x+4=2y+8$$

Subtract 4 from both sides.

$$x=2y+8-4$$

Subtract 4 from 8 to get 4.

$$x=2y+4$$

Solve for y

$$y=\frac{x-4}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y+4.

$$x+4=2y+8$$

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

$$2y+8=x+4$$

Subtract 8 from both sides.

$$2y=x+4-8$$

Subtract 8 from 4 to get -4.

$$2y=x-4$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{x-4}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{x-4}{2}$$

Divide x-4 by 2.

$$y=\frac{x}{2}-2$$