Solve y=(x-2)e

$$y = ( x - 2 ) e$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply x-2 by e.

$$y=xe-2e$$

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

$$xe-2e=y$$

Add 2e to both sides.

$$xe=y+2e$$

The equation is in standard form.

$$ex=y+2e$$

Divide both sides by e.

$$\frac{ex}{e}=\frac{y+2e}{e}$$

Dividing by e undoes the multiplication by e.

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

Divide y+2e by e.

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

Solve for y

$$y=e\left(x-2\right)$$

Solution Steps

Use the distributive property to multiply x-2 by e.

$$y=xe-2e$$