Pre-Algebra Examples

$2 x + \frac{1}{8} = x - \frac{3}{8}$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $x$ from both sides of the equation.

$2 x + \frac{1}{8} - x = - \frac{3}{8}$

Step 1.2

Subtract $x$ from $2 x$ .

$x + \frac{1}{8} = - \frac{3}{8}$

Step 2

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

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Step 2.1

Subtract $\frac{1}{8}$ from both sides of the equation.

$x = - \frac{3}{8} - \frac{1}{8}$

Step 2.2

Combine the numerators over the common denominator.

$x = \frac{- 3 - 1}{8}$

Step 2.3

Subtract $1$ from $- 3$ .

$x = \frac{- 4}{8}$

Step 2.4

Cancel the common factor of $- 4$ and $8$ .

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Step 2.4.1

Factor $4$ out of $- 4$ .

$x = \frac{4 (- 1)}{8}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $4$ out of $8$ .

$x = \frac{4 \cdot - 1}{4 \cdot 2}$

Step 2.4.2.2

Cancel the common factor.

$x = \frac{4 \cdot - 1}{4 \cdot 2}$

Step 2.4.2.3

Rewrite the expression.

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

Step 2.5

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.5$