Algebra Examples

- \frac{b}{5} - 27 = - 21

$- \frac{b}{5} - 27 = - 21$

Step 1

Move all terms not containing

b

$b$ to the right side of the equation.

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Step 1.1

Add

27

$27$ to both sides of the equation.

- \frac{b}{5} = - 21 + 27

$- \frac{b}{5} = - 21 + 27$

Step 1.2

Add

- 21

$- 21$ and

27

$27$ .

- \frac{b}{5} = 6

$- \frac{b}{5} = 6$

- \frac{b}{5} = 6

$- \frac{b}{5} = 6$

Step 2

Multiply both sides of the equation by

- 5

$- 5$ .

- 5 (- \frac{b}{5}) = - 5 \cdot 6

$- 5 (- \frac{b}{5}) = - 5 \cdot 6$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify

- 5 (- \frac{b}{5})

$- 5 (- \frac{b}{5})$ .

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Step 3.1.1.1

Cancel the common factor of

5

$5$ .

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Step 3.1.1.1.1

Move the leading negative in

- \frac{b}{5}

$- \frac{b}{5}$ into the numerator.

- 5 \frac{- b}{5} = - 5 \cdot 6

$- 5 \frac{- b}{5} = - 5 \cdot 6$

Step 3.1.1.1.2

Factor

5

$5$ out of

- 5

$- 5$ .

5 (- 1) \frac{- b}{5} = - 5 \cdot 6

$5 (- 1) \frac{- b}{5} = - 5 \cdot 6$

Step 3.1.1.1.3

Cancel the common factor.

$5 \cdot - 1 \frac{- b}{5} = - 5 \cdot 6$

Step 3.1.1.1.4

Rewrite the expression.

$- - b = - 5 \cdot 6$

$- - b = - 5 \cdot 6$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply

$- 1$ by

$- 1$ .

$1 b = - 5 \cdot 6$

Step 3.1.1.2.2

Multiply

$b$ by

$1$ .

$b = - 5 \cdot 6$

$b = - 5 \cdot 6$

$b = - 5 \cdot 6$

$b = - 5 \cdot 6$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply

$- 5$ by

$6$ .

$b = - 30$

$b = - 30$

$b = - 30$

$- \frac{b}{5} - 27 = - 21$

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