Solve for m (m-2)-5=8-2(m-4)

$(m - 2) - 5 = 8 - 2 (m - 4)$

Subtract $5$ from $- 2$ .

$m - 7 = 8 - 2 (m - 4)$

Simplify $8 - 2 (m - 4)$ .

Simplify each term.

Apply the distributive property.

$m - 7 = 8 - 2 m - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$m - 7 = 8 - 2 m + 8$

Add $8$ and $8$ .

$m - 7 = - 2 m + 16$

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

Add $2 m$ to both sides of the equation.

$m - 7 + 2 m = 16$

Add $m$ and $2 m$ .

$3 m - 7 = 16$

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

Add $7$ to both sides of the equation.

$3 m = 16 + 7$

Add $16$ and $7$ .

$3 m = 23$

Divide each term in $3 m = 23$ by $3$ and simplify.

Divide each term in $3 m = 23$ by $3$ .

$\frac{3 m}{3} = \frac{23}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 m}{3} = \frac{23}{3}$

Divide $m$ by $1$ .

$m = \frac{23}{3}$

The result can be shown in multiple forms.

Exact Form:

$m = \frac{23}{3}$

Decimal Form:

$m = 7.\overline{6}$

Mixed Number Form:

$m = 7 \frac{2}{3}$