Algebra Examples

$- (- 2 - 5 x) + (- 2) = 18$

Step 1

Simplify $- (- 2 - 5 x) - 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- - 2 - (- 5 x) - 2 = 18$

Step 1.1.2

Multiply $- 1$ by $- 2$ .

$2 - (- 5 x) - 2 = 18$

Step 1.1.3

Multiply $- 5$ by $- 1$ .

$2 + 5 x - 2 = 18$

$2 + 5 x - 2 = 18$

Step 1.2

Combine the opposite terms in $2 + 5 x - 2$ .

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Step 1.2.1

Subtract $2$ from $2$ .

$5 x + 0 = 18$

Step 1.2.2

Add $5 x$ and $0$ .

$5 x = 18$

$5 x = 18$

$5 x = 18$

Step 2

Divide each term in $5 x = 18$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = 18$ by $5$ .

$\frac{5 x}{5} = \frac{18}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{18}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{18}{5}$

$x = \frac{18}{5}$

$x = \frac{18}{5}$

$x = \frac{18}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{18}{5}$

Decimal Form:

$x = 3.6$

Mixed Number Form:

$x = 3 \frac{3}{5}$

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