Solve y-6=-(x-3)

$$y - 6 = - ( x - 3 )$$

Solve for x

$$x=9-y$$

Steps for Solving Linear Equation

To find the opposite of x-3, find the opposite of each term.

$$y-6=-x+3$$

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

$$-x+3=y-6$$

Subtract 3 from both sides.

$$-x=y-6-3$$

Subtract 3 from -6 to get -9.

$$-x=y-9$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y-9}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y-9}{-1}$$

Divide y-9 by -1.

$$x=9-y$$

Solve for y

$$y=9-x$$

Solution Steps

To find the opposite of x-3, find the opposite of each term.

$$y-6=-x+3$$

Add 6 to both sides.

$$y=-x+3+6$$

Add 3 and 6 to get 9.

$$y=-x+9$$