Solve for m 10-3(m-2)=8

$10 - 3 (m - 2) = 8$

Step 1

Simplify $10 - 3 (m - 2)$ .

Simplify each term.

Apply the distributive property.

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

Multiply $- 3$ by $- 2$ .

$10 - 3 m + 6 = 8$

Add $10$ and $6$ .

$- 3 m + 16 = 8$

Step 2

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

Subtract $16$ from both sides of the equation.

$- 3 m = 8 - 16$

Subtract $16$ from $8$ .

$- 3 m = - 8$

Step 3

Divide each term in $- 3 m = - 8$ by $- 3$ and simplify.

Divide each term in $- 3 m = - 8$ by $- 3$ .

$\frac{- 3 m}{- 3} = \frac{- 8}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 m}{- 3} = \frac{- 8}{- 3}$

Divide $m$ by $1$ .

$m = \frac{- 8}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$m = \frac{8}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{8}{3}$

Decimal Form:

$m = 2.\overline{6}$

Mixed Number Form:

$m = 2 \frac{2}{3}$