Solve for m 3m-10=2(4m-5)

$3 m - 10 = 2 (4 m - 5)$

Step 1

Simplify $2 (4 m - 5)$ .

Rewrite.

$3 m - 10 = 0 + 0 + 2 (4 m - 5)$

Simplify by adding zeros.

$3 m - 10 = 2 (4 m - 5)$

Apply the distributive property.

$3 m - 10 = 2 (4 m) + 2 \cdot - 5$

Multiply.

Multiply $4$ by $2$ .

$3 m - 10 = 8 m + 2 \cdot - 5$

Multiply $2$ by $- 5$ .

$3 m - 10 = 8 m - 10$

Step 2

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

Subtract $8 m$ from both sides of the equation.

$3 m - 10 - 8 m = - 10$

Subtract $8 m$ from $3 m$ .

$- 5 m - 10 = - 10$

Step 3

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

Add $10$ to both sides of the equation.

$- 5 m = - 10 + 10$

Add $- 10$ and $10$ .

$- 5 m = 0$

Step 4

Divide each term in $- 5 m = 0$ by $- 5$ and simplify.

Divide each term in $- 5 m = 0$ by $- 5$ .

$\frac{- 5 m}{- 5} = \frac{0}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 m}{- 5} = \frac{0}{- 5}$

Divide $m$ by $1$ .

$m = \frac{0}{- 5}$

Simplify the right side.

Divide $0$ by $- 5$ .

$m = 0$