Solve y+5=2(x+1)

$$y + 5 = 2 ( x + 1 )$$

Solve for x

$$x=\frac{y+3}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+1.

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

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

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

Subtract 2 from both sides.

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

Subtract 2 from 5 to get 3.

$$2x=y+3$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y+3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y+3}{2}$$

Solve for y

$$y=2x-3$$

Solution Steps

Use the distributive property to multiply 2 by x+1.

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

Subtract 5 from both sides.

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

Subtract 5 from 2 to get -3.

$$y=2x-3$$