Finite Math Examples

$\frac{1}{3} \cdot (12 x - 3 (x - 18) + 3)$

Step 1

Factor $3$ out of $12 x - 3 (x - 18) + 3$ .

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Step 1.1

Factor $3$ out of $12 x$ .

$\frac{1}{3} \cdot (3 (4 x) - 3 (x - 18) + 3)$

Step 1.2

Factor $3$ out of $- 3 (x - 18)$ .

$\frac{1}{3} \cdot (3 (4 x) + 3 (- (x - 18)) + 3)$

Step 1.3

Factor $3$ out of $3$ .

$\frac{1}{3} \cdot (3 (4 x) + 3 (- (x - 18)) + 3 (1))$

Step 1.4

Factor $3$ out of $3 (4 x) + 3 (- (x - 18))$ .

$\frac{1}{3} \cdot (3 (4 x - (x - 18)) + 3 (1))$

Step 1.5

Factor $3$ out of $3 (4 x - (x - 18)) + 3 (1)$ .

$\frac{1}{3} \cdot (3 (4 x - (x - 18) + 1))$

Step 2

Apply the distributive property.

$\frac{1}{3} \cdot (3 (4 x - x - - 18 + 1))$

Step 3

Multiply $- 1$ by $- 18$ .

$\frac{1}{3} \cdot (3 (4 x - x + 18 + 1))$

Step 4

Subtract $x$ from $4 x$ .

$\frac{1}{3} \cdot (3 (3 x + 18 + 1))$

Step 5

Factor.

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Step 5.1

Add $18$ and $1$ .

$\frac{1}{3} \cdot (3 (3 x + 19))$

Step 5.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot 3 (3 x + 19)$

Step 6

Combine $\frac{1}{3}$ and $3$ .

$\frac{3}{3} (3 x + 19)$

Step 7

Divide $3$ by $3$ .

$1 \cdot (3 x + 19)$

Step 8

Multiply $3 x + 19$ by $1$ .

$3 x + 19$