Algebra Examples

$9 + \frac{1}{4} (12 x - 20)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 + \frac{1}{4} (12 x) + \frac{1}{4} \cdot - 20$

Step 1.2

Cancel the common factor of $4$ .

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Step 1.2.1

Factor $4$ out of $12 x$ .

$9 + \frac{1}{4} (4 (3 x)) + \frac{1}{4} \cdot - 20$

Step 1.2.2

Cancel the common factor.

$9 + \frac{1}{4} (4 (3 x)) + \frac{1}{4} \cdot - 20$

Step 1.2.3

Rewrite the expression.

$9 + 3 x + \frac{1}{4} \cdot - 20$

Step 1.3

Cancel the common factor of $4$ .

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Step 1.3.1

Factor $4$ out of $- 20$ .

$9 + 3 x + \frac{1}{4} \cdot (4 (- 5))$

Step 1.3.2

Cancel the common factor.

$9 + 3 x + \frac{1}{4} \cdot (4 \cdot - 5)$

Step 1.3.3

Rewrite the expression.

$9 + 3 x - 5$

Step 2

Subtract $5$ from $9$ .

$3 x + 4$