Solve y+1=2(x-5)

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

Solve for x

$$x=\frac{y+11}{2}$$

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.

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

Add 10 to both sides.

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

Add 1 and 10 to get 11.

$$2x=y+11$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y+11}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y+11}{2}$$

Solve for y

$$y=2x-11$$

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 -11.

$$y=2x-11$$