Solve for m 7m+2=6n-5

$7 m + 2 = 6 n - 5$

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

Subtract $2$ from both sides of the equation.

$7 m = 6 n - 5 - 2$

Subtract $2$ from $- 5$ .

$7 m = 6 n - 7$

Divide each term in $7 m = 6 n - 7$ by $7$ and simplify.

Divide each term in $7 m = 6 n - 7$ by $7$ .

$\frac{7 m}{7} = \frac{6 n}{7} + \frac{- 7}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 m}{7} = \frac{6 n}{7} + \frac{- 7}{7}$

Divide $m$ by $1$ .

$m = \frac{6 n}{7} + \frac{- 7}{7}$

Simplify the right side.

Divide $- 7$ by $7$ .

$m = \frac{6 n}{7} - 1$