Solve for r -5r+6=-5(r+2)

$- 5 r + 6 = - 5 (r + 2)$

Step 1

Simplify $- 5 (r + 2)$ .

Rewrite.

$- 5 r + 6 = 0 + 0 - 5 (r + 2)$

Simplify by adding zeros.

$- 5 r + 6 = - 5 (r + 2)$

Apply the distributive property.

$- 5 r + 6 = - 5 r - 5 \cdot 2$

Multiply $- 5$ by $2$ .

$- 5 r + 6 = - 5 r - 10$

Step 2

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

Add $5 r$ to both sides of the equation.

$- 5 r + 6 + 5 r = - 10$

Combine the opposite terms in $- 5 r + 6 + 5 r$ .

Add $- 5 r$ and $5 r$ .

$0 + 6 = - 10$

Add $0$ and $6$ .

$6 = - 10$

Step 3

Since $6 \neq - 10$ , there are no solutions.

No solution