Solve y+2=-(x-4)

$$y + 2 = - ( x - 4 )$$

Solve for x

$$x=2-y$$

Steps for Solving Linear Equation

To find the opposite of x-4, find the opposite of each term.

$$y+2=-x+4$$

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

$$-x+4=y+2$$

Subtract 4 from both sides.

$$-x=y+2-4$$

Subtract 4 from 2 to get -2.

$$-x=y-2$$

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide y-2 by -1.

$$x=2-y$$

Solve for y

$$y=2-x$$

Solution Steps

To find the opposite of x-4, find the opposite of each term.

$$y+2=-x+4$$

Subtract 2 from both sides.

$$y=-x+4-2$$

Subtract 2 from 4 to get 2.

$$y=-x+2$$