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

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

Solve for x

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

Steps for Solving Linear Equation

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

$$y=2x+2$$

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

$$2x+2=y$$

Subtract 2 from both sides.

$$2x=y-2$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide y-2 by 2.

$$x=\frac{y}{2}-1$$

Solve for y

$$y=2\left(x+1\right)$$

Solution Steps

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

$$y=2x+2$$