Pre-Algebra Examples

$6 x \div 2 + 6 x < 14$

Step 1

Simplify $6 x \div 2 + 6 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Rewrite the division as a fraction.

$\frac{6 x}{2} + 6 x < 14$

Step 1.1.2

Cancel the common factor of $6$ and $2$ .

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Step 1.1.2.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x)}{2} + 6 x < 14$

Step 1.1.2.2

Cancel the common factors.

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Step 1.1.2.2.1

Factor $2$ out of $2$ .

$\frac{2 (3 x)}{2 (1)} + 6 x < 14$

Step 1.1.2.2.2

Cancel the common factor.

$\frac{2 (3 x)}{2 \cdot 1} + 6 x < 14$

Step 1.1.2.2.3

Rewrite the expression.

$\frac{3 x}{1} + 6 x < 14$

Step 1.1.2.2.4

Divide $3 x$ by $1$ .

$3 x + 6 x < 14$

$3 x + 6 x < 14$

$3 x + 6 x < 14$

$3 x + 6 x < 14$

Step 1.2

Add $3 x$ and $6 x$ .

$9 x < 14$

$9 x < 14$

Step 2

Divide each term in $9 x < 14$ by $9$ and simplify.

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Step 2.1

Divide each term in $9 x < 14$ by $9$ .

$\frac{9 x}{9} < \frac{14}{9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{9 x}{9} < \frac{14}{9}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{14}{9}$

$x < \frac{14}{9}$

$x < \frac{14}{9}$

$x < \frac{14}{9}$

Step 3

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