Solve by Factoring 2(w-3)-5w=-3(w+3)

$2 (w - 3) - 5 w = - 3 (w + 3)$

Step 1

Add $3 (w + 3)$ to both sides of the equation.

$2 (w - 3) - 5 w + 3 (w + 3) = 0$

Step 2

Simplify $2 (w - 3) - 5 w + 3 (w + 3)$ .

Simplify each term.

Apply the distributive property.

$2 w + 2 \cdot - 3 - 5 w + 3 (w + 3) = 0$

Multiply $2$ by $- 3$ .

$2 w - 6 - 5 w + 3 (w + 3) = 0$

Apply the distributive property.

$2 w - 6 - 5 w + 3 w + 3 \cdot 3 = 0$

Multiply $3$ by $3$ .

$2 w - 6 - 5 w + 3 w + 9 = 0$

Subtract $5 w$ from $2 w$ .

$- 3 w - 6 + 3 w + 9 = 0$

Combine the opposite terms in $- 3 w - 6 + 3 w + 9$ .

Add $- 3 w$ and $3 w$ .

$0 - 6 + 9 = 0$

Subtract $6$ from $0$ .

$- 6 + 9 = 0$

Add $- 6$ and $9$ .

$3 = 0$

Step 3

Since $3 \neq 0$ , there are no solutions.

No solution