Simplify 3(x-2)=2(x-2)

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

Simplify $3 (x - 2)$ .

Start simplifying.

$0 + 0 + 3 (x - 2) = 2 (x - 2)$

Simplify by adding zeros.

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

Apply the distributive property.

$3 x + 3 \cdot - 2 = 2 (x - 2)$

Multiply $3$ by $- 2$ .

$3 x - 6 = 2 (x - 2)$

Simplify $2 (x - 2)$ .

Apply the distributive property.

$3 x - 6 = 2 x + 2 \cdot - 2$

Multiply $2$ by $- 2$ .

$3 x - 6 = 2 x - 4$

Move all terms containing $x$ to the left side of the equation.

Subtract $2 x$ from both sides of the equation.

$3 x - 6 - 2 x = - 4$

Subtract $2 x$ from $3 x$ .

$x - 6 = - 4$

Move all terms not containing $x$ to the right side of the equation.

Add $6$ to both sides of the equation.

$x = - 4 + 6$

Add $- 4$ and $6$ .

$x = 2$