Pre-Algebra Examples

$8 - 3 x - 5 - 3 x = 5$

Step 1

Simplify $8 - 3 x - 5 - 3 x$ .

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Step 1.1

Subtract $5$ from $8$ .

$- 3 x + 3 - 3 x = 5$

Step 1.2

Subtract $3 x$ from $- 3 x$ .

$- 6 x + 3 = 5$

$- 6 x + 3 = 5$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Subtract $3$ from both sides of the equation.

$- 6 x = 5 - 3$

Step 2.2

Subtract $3$ from $5$ .

$- 6 x = 2$

$- 6 x = 2$

Step 3

Divide each term in $- 6 x = 2$ by $- 6$ and simplify.

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Step 3.1

Divide each term in $- 6 x = 2$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{2}{- 6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{2}{- 6}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{- 6}$

$x = \frac{2}{- 6}$

$x = \frac{2}{- 6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

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

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Step 3.3.1.1

Factor $2$ out of $2$ .

$x = \frac{2 (1)}{- 6}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $2$ out of $- 6$ .

$x = \frac{2 \cdot 1}{2 \cdot - 3}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 1}{2 \cdot - 3}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{1}{- 3}$

$x = \frac{1}{- 3}$

$x = \frac{1}{- 3}$

Step 3.3.2

Move the negative in front of the fraction.

$x = - \frac{1}{3}$

$x = - \frac{1}{3}$

$x = - \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{3}$

Decimal Form:

$x = - 0.\overline{3}$

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