Solve for m -7m+5=m-3

$- 7 m + 5 = m - 3$

Step 1

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

Subtract $m$ from both sides of the equation.

$- 7 m + 5 - m = - 3$

Subtract $m$ from $- 7 m$ .

$- 8 m + 5 = - 3$

Step 2

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

Subtract $5$ from both sides of the equation.

$- 8 m = - 3 - 5$

Subtract $5$ from $- 3$ .

$- 8 m = - 8$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

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

Divide $m$ by $1$ .

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

Simplify the right side.

Divide $- 8$ by $- 8$ .

$m = 1$