Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $3$ by $5$ .

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

Step 1.3

Multiply $5$ by $- 2$ .

$15 x - 10 + 3 (x + 2 y)$

Step 1.4

Apply the distributive property.

$15 x - 10 + 3 x + 3 (2 y)$

Step 1.5

Multiply $2$ by $3$ .

$15 x - 10 + 3 x + 6 y$

$15 x - 10 + 3 x + 6 y$

Step 2

Simplify by adding terms.

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Step 2.1

Add $15 x$ and $3 x$ .

$18 x - 10 + 6 y$

Step 2.2

Move $- 10$ .

$18 x + 6 y - 10$

$18 x + 6 y - 10$

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