Solve for b -9+7b=8b-7

$- 9 + 7 b = 8 b - 7$

Step 1

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

Subtract $8 b$ from both sides of the equation.

$- 9 + 7 b - 8 b = - 7$

Subtract $8 b$ from $7 b$ .

$- 9 - b = - 7$

Step 2

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

Add $9$ to both sides of the equation.

$- b = - 7 + 9$

Add $- 7$ and $9$ .

$- b = 2$

Step 3

Divide each term in $- b = 2$ by $- 1$ and simplify.

Divide each term in $- b = 2$ by $- 1$ .

$\frac{- b}{- 1} = \frac{2}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{b}{1} = \frac{2}{- 1}$

Divide $b$ by $1$ .

$b = \frac{2}{- 1}$

Simplify the right side.

Divide $2$ by $- 1$ .

$b = - 2$