Expand the Trigonometric Expression 6(2x-3)-2(2x+1)

$6 (2 x - 3) - 2 (2 x + 1)$

Step 1

Simplify each term.

Apply the distributive property.

$6 (2 x) + 6 \cdot - 3 - 2 (2 x + 1)$

Multiply $2$ by $6$ .

$12 x + 6 \cdot - 3 - 2 (2 x + 1)$

Multiply $6$ by $- 3$ .

$12 x - 18 - 2 (2 x + 1)$

Apply the distributive property.

$12 x - 18 - 2 (2 x) - 2 \cdot 1$

Multiply $2$ by $- 2$ .

$12 x - 18 - 4 x - 2 \cdot 1$

Multiply $- 2$ by $1$ .

$12 x - 18 - 4 x - 2$

$12 x - 18 - 4 x - 2$

Step 2

Simplify by adding terms.

Subtract $4 x$ from $12 x$ .

$8 x - 18 - 2$

Subtract $2$ from $- 18$ .

$8 x - 20$

$8 x - 20$

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