Solve for b -5+9/10b=58

$- 5 + \frac{9}{10} b = 58$

Step 1

Combine $\frac{9}{10}$ and $b$ .

$- 5 + \frac{9 b}{10} = 58$

Step 2

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

Add $5$ to both sides of the equation.

$\frac{9 b}{10} = 58 + 5$

Add $58$ and $5$ .

$\frac{9 b}{10} = 63$

Step 3

Multiply both sides of the equation by $\frac{10}{9}$ .

$\frac{10}{9} \cdot \frac{9 b}{10} = \frac{10}{9} \cdot 63$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{10}{9} \cdot \frac{9 b}{10}$ .

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10}{9} \cdot \frac{9 b}{10} = \frac{10}{9} \cdot 63$

Rewrite the expression.

$\frac{1}{9} (9 b) = \frac{10}{9} \cdot 63$

Cancel the common factor of $9$ .

Factor $9$ out of $9 b$ .

$\frac{1}{9} (9 (b)) = \frac{10}{9} \cdot 63$

Cancel the common factor.

$\frac{1}{9} (9 b) = \frac{10}{9} \cdot 63$

Rewrite the expression.

$b = \frac{10}{9} \cdot 63$

Simplify the right side.

Simplify $\frac{10}{9} \cdot 63$ .

Cancel the common factor of $9$ .

Factor $9$ out of $63$ .

$b = \frac{10}{9} \cdot (9 (7))$

Cancel the common factor.

$b = \frac{10}{9} \cdot (9 \cdot 7)$

Rewrite the expression.

$b = 10 \cdot 7$

Multiply $10$ by $7$ .

$b = 70$