Pre-Algebra Examples

$18 (- x - 2) - 4 (- 9 + 3 x) = - 14$

Step 1

Simplify $18 (- x - 2) - 4 (- 9 + 3 x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$18 (- x) + 18 \cdot - 2 - 4 (- 9 + 3 x) = - 14$

Step 1.1.2

Multiply $- 1$ by $18$ .

$- 18 x + 18 \cdot - 2 - 4 (- 9 + 3 x) = - 14$

Step 1.1.3

Multiply $18$ by $- 2$ .

$- 18 x - 36 - 4 (- 9 + 3 x) = - 14$

Step 1.1.4

Apply the distributive property.

$- 18 x - 36 - 4 \cdot - 9 - 4 (3 x) = - 14$

Step 1.1.5

Multiply $- 4$ by $- 9$ .

$- 18 x - 36 + 36 - 4 (3 x) = - 14$

Step 1.1.6

Multiply $3$ by $- 4$ .

$- 18 x - 36 + 36 - 12 x = - 14$

$- 18 x - 36 + 36 - 12 x = - 14$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $- 18 x - 36 + 36 - 12 x$ .

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Step 1.2.1.1

Add $- 36$ and $36$ .

$- 18 x + 0 - 12 x = - 14$

Step 1.2.1.2

Add $- 18 x$ and $0$ .

$- 18 x - 12 x = - 14$

$- 18 x - 12 x = - 14$

Step 1.2.2

Subtract $12 x$ from $- 18 x$ .

$- 30 x = - 14$

$- 30 x = - 14$

$- 30 x = - 14$

Step 2

Divide each term in $- 30 x = - 14$ by $- 30$ and simplify.

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Step 2.1

Divide each term in $- 30 x = - 14$ by $- 30$ .

$\frac{- 30 x}{- 30} = \frac{- 14}{- 30}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 30$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 30 x}{- 30} = \frac{- 14}{- 30}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 14}{- 30}$

$x = \frac{- 14}{- 30}$

$x = \frac{- 14}{- 30}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $- 14$ and $- 30$ .

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Step 2.3.1.1

Factor $- 2$ out of $- 14$ .

$x = \frac{- 2 (7)}{- 30}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $- 2$ out of $- 30$ .

$x = \frac{- 2 \cdot 7}{- 2 \cdot 15}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{- 2 \cdot 7}{- 2 \cdot 15}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{7}{15}$

$x = \frac{7}{15}$

$x = \frac{7}{15}$

$x = \frac{7}{15}$

$x = \frac{7}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{15}$

Decimal Form:

$x = 0.4\overline{6}$

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