Pre-Algebra Examples

$5 (x - 8) + 3 (x - 9) + 1$

Step 1

Apply the distributive property.

$5 x + 5 \cdot - 8 + 3 (x - 9) + 1$

Step 2

Multiply $5$ by $- 8$ .

$5 x - 40 + 3 (x - 9) + 1$

Step 3

Apply the distributive property.

$5 x - 40 + 3 x + 3 \cdot - 9 + 1$

Step 4

Multiply $3$ by $- 9$ .

$5 x - 40 + 3 x - 27 + 1$

Step 5

Add $5 x$ and $3 x$ .

$8 x - 40 - 27 + 1$

Step 6

Subtract $27$ from $- 40$ .

$8 x - 67 + 1$

Step 7

Add $- 67$ and $1$ .

$8 x - 66$

Step 8

Factor $2$ out of $8 x - 66$ .

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Step 8.1

Factor $2$ out of $8 x$ .

$2 (4 x) - 66$

Step 8.2

Factor $2$ out of $- 66$ .

$2 (4 x) + 2 (- 33)$

Step 8.3

Factor $2$ out of $2 (4 x) + 2 (- 33)$ .

$2 (4 x - 33)$

$2 (4 x - 33)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$