Solve for m m+5(m-1)=7

$m + 5 (m - 1) = 7$

Simplify $m + 5 (m - 1)$ .

Simplify each term.

Apply the distributive property.

$m + 5 m + 5 \cdot - 1 = 7$

Multiply $5$ by $- 1$ .

$m + 5 m - 5 = 7$

Add $m$ and $5 m$ .

$6 m - 5 = 7$

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

Add $5$ to both sides of the equation.

$6 m = 7 + 5$

Add $7$ and $5$ .

$6 m = 12$

Divide each term in $6 m = 12$ by $6$ and simplify.

Divide each term in $6 m = 12$ by $6$ .

$\frac{6 m}{6} = \frac{12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 m}{6} = \frac{12}{6}$

Divide $m$ by $1$ .

$m = \frac{12}{6}$

Simplify the right side.

Divide $12$ by $6$ .

$m = 2$