Solve x-4=2(y-3)

$$x-4=2(y-3)$$

Solve for x

$$x=2\left(y-1\right)$$

Solution Steps

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

$$x-4=2y-6$$

Add 4 to both sides.

$$x=2y-6+4$$

Add -6 and 4 to get -2.

$$x=2y-2$$

Solve for y

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

Steps for Solving Linear Equation

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

$$x-4=2y-6$$

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

$$2y-6=x-4$$

Add 6 to both sides.

$$2y=x-4+6$$

Add -4 and 6 to get 2.

$$2y=x+2$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide x+2 by 2.

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