Solve x+5=2(y+5)

$$x + 5 = 2 ( y + 5 )$$

Solve for x

$$x=2y+5$$

Solution Steps

Use the distributive property to multiply 2 by y+5.

$$x+5=2y+10$$

Subtract 5 from both sides.

$$x=2y+10-5$$

Subtract 5 from 10 to get 5.

$$x=2y+5$$

Solve for y

$$y=\frac{x-5}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y+5.

$$x+5=2y+10$$

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

$$2y+10=x+5$$

Subtract 10 from both sides.

$$2y=x+5-10$$

Subtract 10 from 5 to get -5.

$$2y=x-5$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{x-5}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{x-5}{2}$$