Algebra Examples

$4 \cdot 3 + 18 x \div 9 - 12$

Step 1

Simplify each term.

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Step 1.1

Multiply $4$ by $3$ .

$12 + 18 x \div 9 - 12$

Step 1.2

Rewrite the division as a fraction.

$12 + \frac{18 x}{9} - 12$

Step 1.3

Cancel the common factor of $18$ and $9$ .

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Step 1.3.1

Factor $9$ out of $18 x$ .

$12 + \frac{9 (2 x)}{9} - 12$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $9$ out of $9$ .

$12 + \frac{9 (2 x)}{9 (1)} - 12$

Step 1.3.2.2

Cancel the common factor.

$12 + \frac{9 (2 x)}{9 \cdot 1} - 12$

Step 1.3.2.3

Rewrite the expression.

$12 + \frac{2 x}{1} - 12$

Step 1.3.2.4

Divide $2 x$ by $1$ .

$12 + 2 x - 12$

$12 + 2 x - 12$

$12 + 2 x - 12$

$12 + 2 x - 12$

Step 2

Combine the opposite terms in $12 + 2 x - 12$ .

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Step 2.1

Subtract $12$ from $12$ .

$2 x + 0$

Step 2.2

Add $2 x$ and $0$ .

$2 x$

$2 x$

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