Solve y+2=-2(x-3)

$$y + 2 = - 2 ( x - 3 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-3.

$$y+2=-2x+6$$

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

$$-2x+6=y+2$$

Subtract 6 from both sides.

$$-2x=y+2-6$$

Subtract 6 from 2 to get -4.

$$-2x=y-4$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{y-4}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{y-4}{-2}$$

Divide y-4 by -2.

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

Solve for y

$$y=4-2x$$

Solution Steps

Use the distributive property to multiply -2 by x-3.

$$y+2=-2x+6$$

Subtract 2 from both sides.

$$y=-2x+6-2$$

Subtract 2 from 6 to get 4.

$$y=-2x+4$$