Algebra Examples

$3 (5 x + 2) - 4 (2 x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (5 x) + 3 \cdot 2 - 4 (2 x - 1)$

Step 1.2

Multiply $5$ by $3$ .

$15 x + 3 \cdot 2 - 4 (2 x - 1)$

Step 1.3

Multiply $3$ by $2$ .

$15 x + 6 - 4 (2 x - 1)$

Step 1.4

Apply the distributive property.

$15 x + 6 - 4 (2 x) - 4 \cdot - 1$

Step 1.5

Multiply $2$ by $- 4$ .

$15 x + 6 - 8 x - 4 \cdot - 1$

Step 1.6

Multiply $- 4$ by $- 1$ .

$15 x + 6 - 8 x + 4$

$15 x + 6 - 8 x + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 x$ from $15 x$ .

$7 x + 6 + 4$

Step 2.2

Add $6$ and $4$ .

$7 x + 10$

$7 x + 10$

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