Solve for b 7b+4=5b

$7 b + 4 = 5 b$

Step 1

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

Subtract $5 b$ from both sides of the equation.

$7 b + 4 - 5 b = 0$

Subtract $5 b$ from $7 b$ .

$2 b + 4 = 0$

Step 2

Subtract $4$ from both sides of the equation.

$2 b = - 4$

Step 3

Divide each term in $2 b = - 4$ by $2$ and simplify.

Divide each term in $2 b = - 4$ by $2$ .

$\frac{2 b}{2} = \frac{- 4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 b}{2} = \frac{- 4}{2}$

Divide $b$ by $1$ .

$b = \frac{- 4}{2}$

Simplify the right side.

Divide $- 4$ by $2$ .

$b = - 2$