Precalculus Examples

$7 (\frac{1}{7} \cdot (x + 3)) - 3$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 (\frac{1}{7} x + \frac{1}{7} \cdot 3) - 3$

Step 1.2

Combine $\frac{1}{7}$ and $x$ .

$7 (\frac{x}{7} + \frac{1}{7} \cdot 3) - 3$

Step 1.3

Combine $\frac{1}{7}$ and $3$ .

$7 (\frac{x}{7} + \frac{3}{7}) - 3$

Step 1.4

Apply the distributive property.

$7 \frac{x}{7} + 7 (\frac{3}{7}) - 3$

Step 1.5

Cancel the common factor of $7$ .

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Step 1.5.1

Cancel the common factor.

$7 \frac{x}{7} + 7 (\frac{3}{7}) - 3$

Step 1.5.2

Rewrite the expression.

$x + 7 (\frac{3}{7}) - 3$

$x + 7 (\frac{3}{7}) - 3$

Step 1.6

Cancel the common factor of $7$ .

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Step 1.6.1

Cancel the common factor.

$x + 7 (\frac{3}{7}) - 3$

Step 1.6.2

Rewrite the expression.

$x + 3 - 3$

$x + 3 - 3$

$x + 3 - 3$

Step 2

Combine the opposite terms in $x + 3 - 3$ .

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Step 2.1

Subtract $3$ from $3$ .

$x + 0$

Step 2.2

Add $x$ and $0$ .

$x$

$x$

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