Finite Math Examples

$6 x - \frac{3}{8} = \frac{1}{8} + 5 x$

Step 1

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

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Step 1.1

Subtract $5 x$ from both sides of the equation.

$6 x - \frac{3}{8} - 5 x = \frac{1}{8}$

Step 1.2

Subtract $5 x$ from $6 x$ .

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

Step 2

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

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Step 2.1

Add $\frac{3}{8}$ to both sides of the equation.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $1$ and $3$ .

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

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 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$