Finite Math Examples

$3 m = \frac{4 - 2 m}{5}$

Step 1

Multiply both sides by $5$ .

$3 m \cdot 5 = \frac{4 - 2 m}{5} \cdot 5$

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 $3$ .

$15 m = \frac{4 - 2 m}{5} \cdot 5$

$15 m = \frac{4 - 2 m}{5} \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{4 - 2 m}{5} \cdot 5$ .

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Step 2.2.1.1

Factor $2$ out of $4 - 2 m$ .

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Step 2.2.1.1.1

Factor $2$ out of $4$ .

$15 m = \frac{2 (2) - 2 m}{5} \cdot 5$

Step 2.2.1.1.2

Factor $2$ out of $- 2 m$ .

$15 m = \frac{2 (2) + 2 (- m)}{5} \cdot 5$

Step 2.2.1.1.3

Factor $2$ out of $2 (2) + 2 (- m)$ .

$15 m = \frac{2 (2 - m)}{5} \cdot 5$

$15 m = \frac{2 (2 - m)}{5} \cdot 5$

Step 2.2.1.2

Cancel the common factor of $5$ .

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Step 2.2.1.2.1

Cancel the common factor.

$15 m = \frac{2 (2 - m)}{5} \cdot 5$

Step 2.2.1.2.2

Rewrite the expression.

$15 m = 2 (2 - m)$

$15 m = 2 (2 - m)$

Step 2.2.1.3

Apply the distributive property.

$15 m = 2 \cdot 2 + 2 (- m)$

Step 2.2.1.4

Simplify the expression.

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Step 2.2.1.4.1

Multiply $2$ by $2$ .

$15 m = 4 + 2 (- m)$

Step 2.2.1.4.2

Multiply $- 1$ by $2$ .

$15 m = 4 - 2 m$

Step 2.2.1.4.3

Reorder $4$ and $- 2 m$ .

$15 m = - 2 m + 4$

$15 m = - 2 m + 4$

$15 m = - 2 m + 4$

$15 m = - 2 m + 4$

$15 m = - 2 m + 4$

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 $2 m$ to both sides of the equation.

$15 m + 2 m = 4$

Step 3.1.2

Add $15 m$ and $2 m$ .

$17 m = 4$

$17 m = 4$

Step 3.2

Divide each term in $17 m = 4$ by $17$ and simplify.

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Step 3.2.1

Divide each term in $17 m = 4$ by $17$ .

$\frac{17 m}{17} = \frac{4}{17}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $17$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{17 m}{17} = \frac{4}{17}$

Step 3.2.2.1.2

Divide $m$ by $1$ .

$m = \frac{4}{17}$

$m = \frac{4}{17}$

$m = \frac{4}{17}$

$m = \frac{4}{17}$

$m = \frac{4}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{4}{17}$

Decimal Form:

$m = 0.23529411 \dots$

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