Pre-Algebra Examples

$- \frac{14}{17} x + \frac{13}{17} = \frac{12}{17}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $x$ and $\frac{14}{17}$ .

$- \frac{x \cdot 14}{17} + \frac{13}{17} = \frac{12}{17}$

Step 1.2

Move $14$ to the left of $x$ .

$- \frac{14 x}{17} + \frac{13}{17} = \frac{12}{17}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $\frac{13}{17}$ from both sides of the equation.

$- \frac{14 x}{17} = \frac{12}{17} - \frac{13}{17}$

Step 2.2

Combine the numerators over the common denominator.

$- \frac{14 x}{17} = \frac{12 - 13}{17}$

Step 2.3

Subtract $13$ from $12$ .

$- \frac{14 x}{17} = \frac{- 1}{17}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{14 x}{17} = - \frac{1}{17}$

Step 3

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

$- 14 x = - 1$

Step 4

Divide each term in $- 14 x = - 1$ by $- 14$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- 14 x = - 1$ by $- 14$ .

$\frac{- 14 x}{- 14} = \frac{- 1}{- 14}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $- 14$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{- 14 x}{- 14} = \frac{- 1}{- 14}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 1}{- 14}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Dividing two negative values results in a positive value.

$x = \frac{1}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{14}$

Decimal Form:

$x = 0.0\overline{714285}$