Basic Math Examples

$\frac{2}{3} \cdot (\frac{3}{2} x + 9) - 6$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{3}{2}$ and $x$ .

$\frac{2}{3} \cdot (\frac{3 x}{2} + 9) - 6$

Step 1.2

Apply the distributive property.

$\frac{2}{3} \cdot \frac{3 x}{2} + \frac{2}{3} \cdot 9 - 6$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 x}{2} + \frac{2}{3} \cdot 9 - 6$

Step 1.3.2

Rewrite the expression.

$\frac{1}{3} (3 x) + \frac{2}{3} \cdot 9 - 6$

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) + \frac{2}{3} \cdot 9 - 6$

Step 1.4.2

Cancel the common factor.

$\frac{1}{3} (3 x) + \frac{2}{3} \cdot 9 - 6$

Step 1.4.3

Rewrite the expression.

$x + \frac{2}{3} \cdot 9 - 6$

Step 1.5

Cancel the common factor of $3$ .

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Step 1.5.1

Factor $3$ out of $9$ .

$x + \frac{2}{3} \cdot (3 (3)) - 6$

Step 1.5.2

Cancel the common factor.

$x + \frac{2}{3} \cdot (3 \cdot 3) - 6$

Step 1.5.3

Rewrite the expression.

$x + 2 \cdot 3 - 6$

Step 1.6

Multiply $2$ by $3$ .

$x + 6 - 6$

Step 2

Combine the opposite terms in $x + 6 - 6$ .

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Step 2.1

Subtract $6$ from $6$ .

$x + 0$

Step 2.2

Add $x$ and $0$ .

$x$