Solve for m 15m+22=-7m+18

$15 m + 22 = - 7 m + 18$

Step 1

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

Add $7 m$ to both sides of the equation.

$15 m + 22 + 7 m = 18$

Add $15 m$ and $7 m$ .

$22 m + 22 = 18$

Step 2

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

Subtract $22$ from both sides of the equation.

$22 m = 18 - 22$

Subtract $22$ from $18$ .

$22 m = - 4$

Step 3

Divide each term in $22 m = - 4$ by $22$ and simplify.

Divide each term in $22 m = - 4$ by $22$ .

$\frac{22 m}{22} = \frac{- 4}{22}$

Simplify the left side.

Cancel the common factor of $22$ .

Cancel the common factor.

$\frac{22 m}{22} = \frac{- 4}{22}$

Divide $m$ by $1$ .

$m = \frac{- 4}{22}$

Simplify the right side.

Cancel the common factor of $- 4$ and $22$ .

Factor $2$ out of $- 4$ .

$m = \frac{2 (- 2)}{22}$

Cancel the common factors.

Factor $2$ out of $22$ .

$m = \frac{2 \cdot - 2}{2 \cdot 11}$

Cancel the common factor.

$m = \frac{2 \cdot - 2}{2 \cdot 11}$

Rewrite the expression.

$m = \frac{- 2}{11}$

Move the negative in front of the fraction.

$m = - \frac{2}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{2}{11}$

Decimal Form:

$m = - 0.\overline{18}$