Solve for r 5r-5r+9=2r-1

$5 r - 5 r + 9 = 2 r - 1$

Simplify $5 r - 5 r + 9$ .

Subtract $5 r$ from $5 r$ .

$0 + 9 = 2 r - 1$

Add $0$ and $9$ .

$9 = 2 r - 1$

Since $r$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 r - 1 = 9$

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

Add $1$ to both sides of the equation.

$2 r = 9 + 1$

Add $9$ and $1$ .

$2 r = 10$

Divide each term in $2 r = 10$ by $2$ and simplify.

Divide each term in $2 r = 10$ by $2$ .

$\frac{2 r}{2} = \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 r}{2} = \frac{10}{2}$

Divide $r$ by $1$ .

$r = \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$r = 5$