Solve for b 31=22-3/10b

$31 = 22 - \frac{3}{10} b$

Rewrite the equation as $22 - \frac{3}{10} b = 31$ .

$22 - \frac{3}{10} b = 31$

Simplify each term.

Combine $b$ and $\frac{3}{10}$ .

$22 - \frac{b \cdot 3}{10} = 31$

Move $3$ to the left of $b$ .

$22 - \frac{3 b}{10} = 31$

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

Subtract $22$ from both sides of the equation.

$- \frac{3 b}{10} = 31 - 22$

Subtract $22$ from $31$ .

$- \frac{3 b}{10} = 9$

Multiply both sides of the equation by $- \frac{10}{3}$ .

$- \frac{10}{3} (- \frac{3 b}{10}) = - \frac{10}{3} \cdot 9$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{10}{3} (- \frac{3 b}{10})$ .

Cancel the common factor of $10$ .

Move the leading negative in $- \frac{10}{3}$ into the numerator.

$\frac{- 10}{3} (- \frac{3 b}{10}) = - \frac{10}{3} \cdot 9$

Move the leading negative in $- \frac{3 b}{10}$ into the numerator.

$\frac{- 10}{3} \cdot \frac{- 3 b}{10} = - \frac{10}{3} \cdot 9$

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{3} \cdot \frac{- 3 b}{10} = - \frac{10}{3} \cdot 9$

Cancel the common factor.

$\frac{10 \cdot - 1}{3} \cdot \frac{- 3 b}{10} = - \frac{10}{3} \cdot 9$

Rewrite the expression.

$\frac{- 1}{3} (- 3 b) = - \frac{10}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3 b$ .

$\frac{- 1}{3} (3 (- b)) = - \frac{10}{3} \cdot 9$

Cancel the common factor.

$\frac{- 1}{3} (3 (- b)) = - \frac{10}{3} \cdot 9$

Rewrite the expression.

$- - b = - \frac{10}{3} \cdot 9$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 b = - \frac{10}{3} \cdot 9$

Multiply $b$ by $1$ .

$b = - \frac{10}{3} \cdot 9$

Simplify the right side.

Simplify $- \frac{10}{3} \cdot 9$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{10}{3}$ into the numerator.

$b = \frac{- 10}{3} \cdot 9$

Factor $3$ out of $9$ .

$b = \frac{- 10}{3} \cdot (3 (3))$

Cancel the common factor.

$b = \frac{- 10}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$b = - 10 \cdot 3$

Multiply $- 10$ by $3$ .

$b = - 30$

Solve for b 31=22-3/10b

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