Basic Math Examples

- \frac{1}{8} \cdot (8 c - 24) + 10 c = - 15

$- \frac{1}{8} \cdot (8 c - 24) + 10 c = - 15$

Step 1

Simplify

- \frac{1}{8} \cdot (8 c - 24) + 10 c

$- \frac{1}{8} \cdot (8 c - 24) + 10 c$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

- \frac{1}{8} (8 c) - \frac{1}{8} \cdot - 24 + 10 c = - 15

$- \frac{1}{8} (8 c) - \frac{1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.2

Cancel the common factor of

8

$8$ .

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Step 1.1.2.1

Move the leading negative in

- \frac{1}{8}

$- \frac{1}{8}$ into the numerator.

\frac{- 1}{8} (8 c) - \frac{1}{8} \cdot - 24 + 10 c = - 15

$\frac{- 1}{8} (8 c) - \frac{1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.2.2

Factor

8

$8$ out of

8 c

$8 c$ .

\frac{- 1}{8} (8 (c)) - \frac{1}{8} \cdot - 24 + 10 c = - 15

$\frac{- 1}{8} (8 (c)) - \frac{1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.2.3

Cancel the common factor.

$\frac{- 1}{8} (8 c) - \frac{1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.2.4

Rewrite the expression.

$- 1 c - \frac{1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.3

Cancel the common factor of

$8$ .

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Step 1.1.3.1

Move the leading negative in

$- \frac{1}{8}$ into the numerator.

$- 1 c + \frac{- 1}{8} \cdot - 24 + 10 c = - 15$

Step 1.1.3.2

Factor

$8$ out of

$- 24$ .

$- 1 c + \frac{- 1}{8} \cdot (8 (- 3)) + 10 c = - 15$

Step 1.1.3.3

Cancel the common factor.

$- 1 c + \frac{- 1}{8} \cdot (8 \cdot - 3) + 10 c = - 15$

Step 1.1.3.4

Rewrite the expression.

$- 1 c - 1 \cdot - 3 + 10 c = - 15$

Step 1.1.4

Multiply

$- 1$ by

$- 3$ .

$- 1 c + 3 + 10 c = - 15$

Step 1.1.5

Rewrite

$- 1 c$ as

$- c$ .

$- c + 3 + 10 c = - 15$

Step 1.2

Add

$- c$ and

$10 c$ .

$9 c + 3 = - 15$

Step 2

Move all terms not containing

$c$ to the right side of the equation.

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Step 2.1

Subtract

$3$ from both sides of the equation.

$9 c = - 15 - 3$

Step 2.2

Subtract

$3$ from

$- 15$ .

$9 c = - 18$

Step 3

Divide each term in

$9 c = - 18$ by

$9$ and simplify.

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Step 3.1

Divide each term in

$9 c = - 18$ by

$9$ .

$\frac{9 c}{9} = \frac{- 18}{9}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$9$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{9 c}{9} = \frac{- 18}{9}$

Step 3.2.1.2

Divide

$c$ by

$1$ .

$c = \frac{- 18}{9}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 18$ by

$9$ .

$c = - 2$