Solve y-4=-2(x-5)

$$y - 4 = - 2 ( x - 5 )$$

Solve for x

$$x=-\frac{y}{2}+7$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-5.

$$y-4=-2x+10$$

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

$$-2x+10=y-4$$

Subtract 10 from both sides.

$$-2x=y-4-10$$

Subtract 10 from -4 to get -14.

$$-2x=y-14$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{y-14}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{y-14}{-2}$$

Divide y-14 by -2.

$$x=-\frac{y}{2}+7$$

Solve for y

$$y=14-2x$$

Solution Steps

Use the distributive property to multiply -2 by x-5.

$$y-4=-2x+10$$

Add 4 to both sides.

$$y=-2x+10+4$$

Add 10 and 4 to get 14.

$$y=-2x+14$$