Solve for m 3m=5(m+3)-3

$3 m = 5 (m + 3) - 3$

Step 1

Simplify $5 (m + 3) - 3$ .

Simplify each term.

Apply the distributive property.

$3 m = 5 m + 5 \cdot 3 - 3$

Multiply $5$ by $3$ .

$3 m = 5 m + 15 - 3$

Subtract $3$ from $15$ .

$3 m = 5 m + 12$

Step 2

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

Subtract $5 m$ from both sides of the equation.

$3 m - 5 m = 12$

Subtract $5 m$ from $3 m$ .

$- 2 m = 12$

Step 3

Divide each term in $- 2 m = 12$ by $- 2$ and simplify.

Divide each term in $- 2 m = 12$ by $- 2$ .

$\frac{- 2 m}{- 2} = \frac{12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 m}{- 2} = \frac{12}{- 2}$

Divide $m$ by $1$ .

$m = \frac{12}{- 2}$

Simplify the right side.

Divide $12$ by $- 2$ .

$m = - 6$