Pre-Algebra Examples

$8 x - (2 x - 1) = 2$

Step 1

Simplify $8 x - (2 x - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 x - (2 x) - - 1 = 2$

Step 1.1.2

Multiply $2$ by $- 1$ .

$8 x - 2 x - - 1 = 2$

Step 1.1.3

Multiply $- 1$ by $- 1$ .

$8 x - 2 x + 1 = 2$

Step 1.2

Subtract $2 x$ from $8 x$ .

$6 x + 1 = 2$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$6 x = 2 - 1$

Step 2.2

Subtract $1$ from $2$ .

$6 x = 1$

Step 3

Divide each term in $6 x = 1$ by $6$ and simplify.

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Step 3.1

Divide each term in $6 x = 1$ by $6$ .

$\frac{6 x}{6} = \frac{1}{6}$

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.

$\frac{6 x}{6} = \frac{1}{6}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{6}$

Decimal Form:

$x = 0.1\overline{6}$