Solve y=2(x+z)

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+z.

$$y=2x+2z$$

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

$$2x+2z=y$$

Subtract 2z from both sides.

$$2x=y-2z$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide y-2z by 2.

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

Solve for y

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

Solution Steps

Use the distributive property to multiply 2 by x+z.

$$y=2x+2z$$