Solve (x+2012)-2(y-2013)=3

$$(x+2012)-2(y-2013)=3$$

Solve for x

$$x=2y-6035$$

Solution Steps

Use the distributive property to multiply -2 by y-2013.

$$x+2012-2y+4026=3$$

Add 2012 and 4026 to get 6038.

$$x+6038-2y=3$$

Subtract 6038 from both sides.

$$x-2y=3-6038$$

Subtract 6038 from 3 to get -6035.

$$x-2y=-6035$$

Add 2y to both sides.

$$x=-6035+2y$$

Solve for y

$$y=\frac{x+6035}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by y-2013.

$$x+2012-2y+4026=3$$

Add 2012 and 4026 to get 6038.

$$x+6038-2y=3$$

Subtract x from both sides.

$$6038-2y=3-x$$

Subtract 6038 from both sides.

$$-2y=3-x-6038$$

Subtract 6038 from 3 to get -6035.

$$-2y=-6035-x$$

The equation is in standard form.

$$-2y=-x-6035$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{-x-6035}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{-x-6035}{-2}$$

Divide -6035-x by -2.

$$y=\frac{x+6035}{2}$$