Pre-Algebra Examples

$\frac{- 5}{7} = c + \frac{2}{7}$

Step 1

Rewrite the equation as $c + \frac{2}{7} = \frac{- 5}{7}$ .

$c + \frac{2}{7} = \frac{- 5}{7}$

Step 2

Move the negative in front of the fraction.

$c + \frac{2}{7} = - \frac{5}{7}$

Step 3

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

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Step 3.1

Subtract $\frac{2}{7}$ from both sides of the equation.

$c = - \frac{5}{7} - \frac{2}{7}$

Step 3.2

Combine the numerators over the common denominator.

$c = \frac{- 5 - 2}{7}$

Step 3.3

Subtract $2$ from $- 5$ .

$c = \frac{- 7}{7}$

Step 3.4

Divide $- 7$ by $7$ .

$c = - 1$