Basic Math Examples

$3 m = \frac{- 9 m - 8}{5}$

Step 1

Multiply both sides by $5$ .

$3 m \cdot 5 = \frac{- 9 m - 8}{5} \cdot 5$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $5$ by $3$ .

$15 m = \frac{- 9 m - 8}{5} \cdot 5$

$15 m = \frac{- 9 m - 8}{5} \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$15 m = \frac{- 9 m - 8}{5} \cdot 5$

Step 2.2.1.2

Rewrite the expression.

$15 m = - 9 m - 8$

$15 m = - 9 m - 8$

$15 m = - 9 m - 8$

$15 m = - 9 m - 8$

Step 3

Solve for $m$ .

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Step 3.1

Move all terms containing $m$ to the left side of the equation.

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Step 3.1.1

Add $9 m$ to both sides of the equation.

$15 m + 9 m = - 8$

Step 3.1.2

Add $15 m$ and $9 m$ .

$24 m = - 8$

$24 m = - 8$

Step 3.2

Divide each term in $24 m = - 8$ by $24$ and simplify.

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Step 3.2.1

Divide each term in $24 m = - 8$ by $24$ .

$\frac{24 m}{24} = \frac{- 8}{24}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $24$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{24 m}{24} = \frac{- 8}{24}$

Step 3.2.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 8}{24}$

$m = \frac{- 8}{24}$

$m = \frac{- 8}{24}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Cancel the common factor of $- 8$ and $24$ .

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Step 3.2.3.1.1

Factor $8$ out of $- 8$ .

$m = \frac{8 (- 1)}{24}$

Step 3.2.3.1.2

Cancel the common factors.

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Step 3.2.3.1.2.1

Factor $8$ out of $24$ .

$m = \frac{8 \cdot - 1}{8 \cdot 3}$

Step 3.2.3.1.2.2

Cancel the common factor.

$m = \frac{8 \cdot - 1}{8 \cdot 3}$

Step 3.2.3.1.2.3

Rewrite the expression.

$m = \frac{- 1}{3}$

$m = \frac{- 1}{3}$

$m = \frac{- 1}{3}$

Step 3.2.3.2

Move the negative in front of the fraction.

$m = - \frac{1}{3}$

$m = - \frac{1}{3}$

$m = - \frac{1}{3}$

$m = - \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{1}{3}$

Decimal Form:

$m = - 0.\overline{3}$

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