Pre-Algebra Examples

$3 (5 x + 1) + 5 (x - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (5 x) + 3 \cdot 1 + 5 (x - 2)$

Step 1.2

Multiply $5$ by $3$ .

$15 x + 3 \cdot 1 + 5 (x - 2)$

Step 1.3

Multiply $3$ by $1$ .

$15 x + 3 + 5 (x - 2)$

Step 1.4

Apply the distributive property.

$15 x + 3 + 5 x + 5 \cdot - 2$

Step 1.5

Multiply $5$ by $- 2$ .

$15 x + 3 + 5 x - 10$

$15 x + 3 + 5 x - 10$

Step 2

Simplify by adding terms.

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Step 2.1

Add $15 x$ and $5 x$ .

$20 x + 3 - 10$

Step 2.2

Subtract $10$ from $3$ .

$20 x - 7$

$20 x - 7$

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