Solve for r -4+2r-5r=17

$- 4 + 2 r - 5 r = 17$

Step 1

Subtract $5 r$ from $2 r$ .

$- 4 - 3 r = 17$

Step 2

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

Add $4$ to both sides of the equation.

$- 3 r = 17 + 4$

Add $17$ and $4$ .

$- 3 r = 21$

Step 3

Divide each term in $- 3 r = 21$ by $- 3$ and simplify.

Divide each term in $- 3 r = 21$ by $- 3$ .

$\frac{- 3 r}{- 3} = \frac{21}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 r}{- 3} = \frac{21}{- 3}$

Divide $r$ by $1$ .

$r = \frac{21}{- 3}$

Simplify the right side.

Divide $21$ by $- 3$ .

$r = - 7$