Basic Math Examples

$2 (t - 6) + 4 (t + 2) - 10$

Step 1

Factor $2$ out of $2 (t - 6) + 4 (t + 2) - 10$ .

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Step 1.1

Factor $2$ out of $4 (t + 2)$ .

$2 (t - 6) + 2 (2 (t + 2)) - 10$

Step 1.2

Factor $2$ out of $- 10$ .

$2 (t - 6) + 2 (2 (t + 2)) + 2 \cdot - 5$

Step 1.3

Factor $2$ out of $2 (t - 6) + 2 (2 (t + 2))$ .

$2 (t - 6 + 2 (t + 2)) + 2 \cdot - 5$

Step 1.4

Factor $2$ out of $2 (t - 6 + 2 (t + 2)) + 2 \cdot - 5$ .

$2 (t - 6 + 2 (t + 2) - 5)$

Step 2

Apply the distributive property.

$2 (t - 6 + 2 t + 2 \cdot 2 - 5)$

Step 3

Multiply $2$ by $2$ .

$2 (t - 6 + 2 t + 4 - 5)$

Step 4

Add $t$ and $2 t$ .

$2 (3 t - 6 + 4 - 5)$

Step 5

Add $- 6$ and $4$ .

$2 (3 t - 2 - 5)$

Step 6

Subtract $5$ from $- 2$ .

$2 (3 t - 7)$