Solve by Factoring 2x=2(x-3)

$2 x = 2 (x - 3)$

Step 1

Subtract $2 (x - 3)$ from both sides of the equation.

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

Step 2

Simplify $2 x - 2 (x - 3)$ .

Simplify each term.

Apply the distributive property.

$2 x - 2 x - 2 \cdot - 3 = 0$

Multiply $- 2$ by $- 3$ .

$2 x - 2 x + 6 = 0$

Subtract $2 x$ from $2 x$ .

$0 + 6 = 0$

Add $0$ and $6$ .

$6 = 0$

Step 3

Since $6 \neq 0$ , there are no solutions.

No solution