Pre-Algebra Examples

$8 | 3 x - 2 | = 0$

Step 1

Divide each term in $8 | 3 x - 2 | = 0$ by $8$ and simplify.

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Step 1.1

Divide each term in $8 | 3 x - 2 | = 0$ by $8$ .

$\frac{8 | 3 x - 2 |}{8} = \frac{0}{8}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $8$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{8 | 3 x - 2 |}{8} = \frac{0}{8}$

Step 1.2.1.2

Divide $| 3 x - 2 |$ by $1$ .

$| 3 x - 2 | = \frac{0}{8}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $8$ .

$| 3 x - 2 | = 0$

Step 2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$3 x - 2 = \pm 0$

Step 3

Plus or minus $0$ is $0$ .

$3 x - 2 = 0$

Step 4

Add $2$ to both sides of the equation.

$3 x = 2$

Step 5

Divide each term in $3 x = 2$ by $3$ and simplify.

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Step 5.1

Divide each term in $3 x = 2$ by $3$ .

$\frac{3 x}{3} = \frac{2}{3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{2}{3}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{3}$

Decimal Form:

$x = 0.\overline{6}$