Pre-Algebra Examples

$6 + \frac{6}{w - 2} = \frac{5}{w + 2}$

Step 1

Simplify $6 + \frac{6}{w - 2}$ .

Tap for more steps...

Step 1.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{w - 2}{w - 2}$ .

$\frac{6 (w - 2)}{w - 2} + \frac{6}{w - 2} = \frac{5}{w + 2}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{6 (w - 2) + 6}{w - 2} = \frac{5}{w + 2}$

Step 1.3

Simplify the numerator.

Tap for more steps...

Step 1.3.1

Factor $6$ out of $6 (w - 2) + 6$ .

Tap for more steps...

Step 1.3.1.1

Factor $6$ out of $6$ .

$\frac{6 (w - 2) + 6 (1)}{w - 2} = \frac{5}{w + 2}$

Step 1.3.1.2

Factor $6$ out of $6 (w - 2) + 6 (1)$ .

$\frac{6 (w - 2 + 1)}{w - 2} = \frac{5}{w + 2}$

Step 1.3.2

Add $- 2$ and $1$ .

$\frac{6 (w - 1)}{w - 2} = \frac{5}{w + 2}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$w = - \frac{2}{3}, \frac{1}{2}$

Step 3