Basic Math Examples

$\frac{4}{7} m = 18 - \frac{2}{7} m$

Step 1

Simplify $\frac{4}{7} m$ .

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Step 1.1

Rewrite.

$0 + 0 + \frac{4}{7} m = 18 - \frac{2}{7} m$

Step 1.2

Simplify by adding zeros.

$\frac{4}{7} m = 18 - \frac{2}{7} m$

Step 1.3

Combine $\frac{4}{7}$ and $m$ .

$\frac{4 m}{7} = 18 - \frac{2}{7} m$

Step 2

Simplify each term.

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Step 2.1

Combine $m$ and $\frac{2}{7}$ .

$\frac{4 m}{7} = 18 - \frac{m \cdot 2}{7}$

Step 2.2

Move $2$ to the left of $m$ .

$\frac{4 m}{7} = 18 - \frac{2 m}{7}$

Step 3

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

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Step 3.1

Add $\frac{2 m}{7}$ to both sides of the equation.

$\frac{4 m}{7} + \frac{2 m}{7} = 18$

Step 3.2

Combine the numerators over the common denominator.

$\frac{4 m + 2 m}{7} = 18$

Step 3.3

Add $4 m$ and $2 m$ .

$\frac{6 m}{7} = 18$

Step 4

Multiply both sides of the equation by $\frac{7}{6}$ .

$\frac{7}{6} \cdot \frac{6 m}{7} = \frac{7}{6} \cdot 18$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $\frac{7}{6} \cdot \frac{6 m}{7}$ .

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Step 5.1.1.1

Cancel the common factor of $7$ .

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Step 5.1.1.1.1

Cancel the common factor.

$\frac{7}{6} \cdot \frac{6 m}{7} = \frac{7}{6} \cdot 18$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{6} (6 m) = \frac{7}{6} \cdot 18$

Step 5.1.1.2

Cancel the common factor of $6$ .

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Step 5.1.1.2.1

Factor $6$ out of $6 m$ .

$\frac{1}{6} (6 (m)) = \frac{7}{6} \cdot 18$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{6} (6 m) = \frac{7}{6} \cdot 18$

Step 5.1.1.2.3

Rewrite the expression.

$m = \frac{7}{6} \cdot 18$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $\frac{7}{6} \cdot 18$ .

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Step 5.2.1.1

Cancel the common factor of $6$ .

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Step 5.2.1.1.1

Factor $6$ out of $18$ .

$m = \frac{7}{6} \cdot (6 (3))$

Step 5.2.1.1.2

Cancel the common factor.

$m = \frac{7}{6} \cdot (6 \cdot 3)$

Step 5.2.1.1.3

Rewrite the expression.

$m = 7 \cdot 3$

Step 5.2.1.2

Multiply $7$ by $3$ .

$m = 21$