Solve for b -5(2b+1)=-11b

$- 5 (2 b + 1) = - 11 b$

Step 1

Simplify $- 5 (2 b + 1)$ .

Start simplifying.

$0 + 0 - 5 (2 b + 1) = - 11 b$

Simplify by adding zeros.

$- 5 (2 b + 1) = - 11 b$

Apply the distributive property.

$- 5 (2 b) - 5 \cdot 1 = - 11 b$

Multiply.

Multiply $2$ by $- 5$ .

$- 10 b - 5 \cdot 1 = - 11 b$

Multiply $- 5$ by $1$ .

$- 10 b - 5 = - 11 b$

Step 2

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

Add $11 b$ to both sides of the equation.

$- 10 b - 5 + 11 b = 0$

Add $- 10 b$ and $11 b$ .

$b - 5 = 0$

Step 3

Add $5$ to both sides of the equation.

$b = 5$