Pre-Algebra Examples

$(3 x - 4) \cdot 5 - 3 (2 x - 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x \cdot 5 - 4 \cdot 5 - 3 (2 x - 7)$

Step 1.2

Multiply $5$ by $3$ .

$15 x - 4 \cdot 5 - 3 (2 x - 7)$

Step 1.3

Multiply $- 4$ by $5$ .

$15 x - 20 - 3 (2 x - 7)$

Step 1.4

Apply the distributive property.

$15 x - 20 - 3 (2 x) - 3 \cdot - 7$

Step 1.5

Multiply $2$ by $- 3$ .

$15 x - 20 - 6 x - 3 \cdot - 7$

Step 1.6

Multiply $- 3$ by $- 7$ .

$15 x - 20 - 6 x + 21$

$15 x - 20 - 6 x + 21$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 x$ from $15 x$ .

$9 x - 20 + 21$

Step 2.2

Add $- 20$ and $21$ .

$9 x + 1$

$9 x + 1$

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