Basic Math Examples

$\frac{5 m + 6}{3} = 12$

Step 1

Multiply both sides by $3$ .

$\frac{5 m + 6}{3} \cdot 3 = 12 \cdot 3$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{5 m + 6}{3} \cdot 3 = 12 \cdot 3$

Step 2.1.1.2

Rewrite the expression.

$5 m + 6 = 12 \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $12$ by $3$ .

$5 m + 6 = 36$

Step 3

Solve for $m$ .

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Step 3.1

Move all terms not containing $m$ to the right side of the equation.

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Step 3.1.1

Subtract $6$ from both sides of the equation.

$5 m = 36 - 6$

Step 3.1.2

Subtract $6$ from $36$ .

$5 m = 30$

Step 3.2

Divide each term in $5 m = 30$ by $5$ and simplify.

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Step 3.2.1

Divide each term in $5 m = 30$ by $5$ .

$\frac{5 m}{5} = \frac{30}{5}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $5$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{5 m}{5} = \frac{30}{5}$

Step 3.2.2.1.2

Divide $m$ by $1$ .

$m = \frac{30}{5}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $30$ by $5$ .

$m = 6$