Pre-Algebra Examples

$\frac{1}{7} = x + \frac{4}{7}$

Step 1

Rewrite the equation as $x + \frac{4}{7} = \frac{1}{7}$ .

$x + \frac{4}{7} = \frac{1}{7}$

Step 2

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

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Step 2.1

Subtract $\frac{4}{7}$ from both sides of the equation.

$x = \frac{1}{7} - \frac{4}{7}$

Step 2.2

Combine the numerators over the common denominator.

$x = \frac{1 - 4}{7}$

Step 2.3

Subtract $4$ from $1$ .

$x = \frac{- 3}{7}$

Step 2.4

Move the negative in front of the fraction.

$x = - \frac{3}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{3}{7}$

Decimal Form:

$x = - 0.\overline{428571}$