Solve for m (8m-9)=(21m-17)

$(8 m - 9) = (21 m - 17)$

Step 1

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

Subtract $21 m$ from both sides of the equation.

$8 m - 9 - 21 m = - 17$

Subtract $21 m$ from $8 m$ .

$- 13 m - 9 = - 17$

Step 2

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

Add $9$ to both sides of the equation.

$- 13 m = - 17 + 9$

Add $- 17$ and $9$ .

$- 13 m = - 8$

Step 3

Divide each term in $- 13 m = - 8$ by $- 13$ and simplify.

Divide each term in $- 13 m = - 8$ by $- 13$ .

$\frac{- 13 m}{- 13} = \frac{- 8}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 m}{- 13} = \frac{- 8}{- 13}$

Divide $m$ by $1$ .

$m = \frac{- 8}{- 13}$

Simplify the right side.

Dividing two negative values results in a positive value.

$m = \frac{8}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{8}{13}$

Decimal Form:

$m = 0.\overline{615384}$