Basic Math Examples

\frac{- a}{10} - 8 = - 24

$\frac{- a}{10} - 8 = - 24$

Step 1

Move the negative in front of the fraction.

- \frac{a}{10} - 8 = - 24

$- \frac{a}{10} - 8 = - 24$

Step 2

Move all terms not containing

a

$a$ to the right side of the equation.

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Step 2.1

Add

8

$8$ to both sides of the equation.

- \frac{a}{10} = - 24 + 8

$- \frac{a}{10} = - 24 + 8$

Step 2.2

Add

- 24

$- 24$ and

8

$8$ .

- \frac{a}{10} = - 16

$- \frac{a}{10} = - 16$

- \frac{a}{10} = - 16

$- \frac{a}{10} = - 16$

Step 3

Multiply both sides of the equation by

- 10

$- 10$ .

- 10 (- \frac{a}{10}) = - 10 \cdot - 16

$- 10 (- \frac{a}{10}) = - 10 \cdot - 16$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

- 10 (- \frac{a}{10})

$- 10 (- \frac{a}{10})$ .

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Step 4.1.1.1

Cancel the common factor of

10

$10$ .

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Step 4.1.1.1.1

Move the leading negative in

- \frac{a}{10}

$- \frac{a}{10}$ into the numerator.

- 10 \frac{- a}{10} = - 10 \cdot - 16

$- 10 \frac{- a}{10} = - 10 \cdot - 16$

Step 4.1.1.1.2

Factor

10

$10$ out of

- 10

$- 10$ .

10 (- 1) \frac{- a}{10} = - 10 \cdot - 16

$10 (- 1) \frac{- a}{10} = - 10 \cdot - 16$

Step 4.1.1.1.3

Cancel the common factor.

$10 \cdot - 1 \frac{- a}{10} = - 10 \cdot - 16$

Step 4.1.1.1.4

Rewrite the expression.

$- - a = - 10 \cdot - 16$

$- - a = - 10 \cdot - 16$

Step 4.1.1.2

Multiply.

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Step 4.1.1.2.1

Multiply

$- 1$ by

$- 1$ .

$1 a = - 10 \cdot - 16$

Step 4.1.1.2.2

Multiply

$a$ by

$1$ .

$a = - 10 \cdot - 16$

$a = - 10 \cdot - 16$

$a = - 10 \cdot - 16$

$a = - 10 \cdot - 16$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$- 10$ by

$- 16$ .

$a = 160$

$a = 160$

$a = 160$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$