Algebra Examples

$\frac{2}{7} = - \frac{8 x}{7} + \frac{6}{7}$

Step 1

Rewrite the equation as $- \frac{8 x}{7} + \frac{6}{7} = \frac{2}{7}$ .

$- \frac{8 x}{7} + \frac{6}{7} = \frac{2}{7}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $\frac{6}{7}$ from both sides of the equation.

$- \frac{8 x}{7} = \frac{2}{7} - \frac{6}{7}$

Step 2.2

Combine the numerators over the common denominator.

$- \frac{8 x}{7} = \frac{2 - 6}{7}$

Step 2.3

Subtract $6$ from $2$ .

$- \frac{8 x}{7} = \frac{- 4}{7}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{8 x}{7} = - \frac{4}{7}$

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$- 8 x = - 4$

Step 4

Divide each term in $- 8 x = - 4$ by $- 8$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- 8 x = - 4$ by $- 8$ .

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

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $- 8$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $x$ by $1$ .

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

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

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

Tap for more steps...

Step 4.3.1.1

Factor $- 4$ out of $- 4$ .

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

Step 4.3.1.2

Cancel the common factors.

Tap for more steps...

Step 4.3.1.2.1

Factor $- 4$ out of $- 8$ .

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

Step 4.3.1.2.2

Cancel the common factor.

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

Step 4.3.1.2.3

Rewrite the expression.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$