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

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

Solve for x

$$x=\frac{y-9}{2}$$

Steps for Solving Linear Equation

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

$$y+1=2x+10$$

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

$$2x+10=y+1$$

Subtract 10 from both sides.

$$2x=y+1-10$$

Subtract 10 from 1 to get -9.

$$2x=y-9$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y-9}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y-9}{2}$$

Solve for y

$$y=2x+9$$

Solution Steps

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

$$y+1=2x+10$$

Subtract 1 from both sides.

$$y=2x+10-1$$

Subtract 1 from 10 to get 9.

$$y=2x+9$$