Algebra Examples

$\frac{5}{3} \cdot (3 x - 6) - (6 - 4 x)$

Step 1

Factor $\frac{1}{3}$ out of each term.

$\frac{1}{3} \cdot (5 (3 x - 6) - 18 + 12 x)$

Step 2

Apply the distributive property.

$\frac{1}{3} \cdot (5 (3 x) + 5 \cdot - 6 - 18 + 12 x)$

Step 3

Multiply $3$ by $5$ .

$\frac{1}{3} \cdot (15 x + 5 \cdot - 6 - 18 + 12 x)$

Step 4

Multiply $5$ by $- 6$ .

$\frac{1}{3} \cdot (15 x - 30 - 18 + 12 x)$

Step 5

Add $15 x$ and $12 x$ .

$\frac{1}{3} \cdot (27 x - 30 - 18)$

Step 6

Subtract $18$ from $- 30$ .

$\frac{1}{3} \cdot (27 x - 48)$

Step 7

Factor.

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Step 7.1

Factor $3$ out of $27 x - 48$ .

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Step 7.1.1

Factor $3$ out of $27 x$ .

$\frac{1}{3} \cdot (3 (9 x) - 48)$

Step 7.1.2

Factor $3$ out of $- 48$ .

$\frac{1}{3} \cdot (3 (9 x) + 3 (- 16))$

Step 7.1.3

Factor $3$ out of $3 (9 x) + 3 (- 16)$ .

$\frac{1}{3} \cdot (3 (9 x - 16))$

Step 7.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot 3 (9 x - 16)$

Step 8

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

$\frac{3}{3} (9 x - 16)$

Step 9

Divide $3$ by $3$ .

$1 \cdot (9 x - 16)$

Step 10

Multiply $9 x - 16$ by $1$ .

$9 x - 16$