Solve y=3(x-2)

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

Solve for x

$$x=\frac{y+6}{3}$$

Steps for Solving Linear Equation

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

$$y=3x-6$$

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

$$3x-6=y$$

Add 6 to both sides.

$$3x=y+6$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y+6}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y+6}{3}$$

Divide y+6 by 3.

$$x=\frac{y}{3}+2$$

Solve for y

$$y=3\left(x-2\right)$$

Solution Steps

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

$$y=3x-6$$