solve the equation for x

1 + 1 = 1
- - -
x 12 8

To solve the equation for x, you need to isolate the variable x on one side of the equation.

To start, let's rewrite the equation using the given fractions:

1/x + 1/12 = 1/8

To eliminate the denominators, we need to find a common denominator. The least common denominator (LCD) for x, 12, and 8 is 24. Now, we can rewrite the equation:

(24/x) + (2/24) = (3/24)

Next, we can simplify the fractions:

24/x + 1/12 = 1/8

Multiplying each term by the LCD, which is 24, will help us get rid of the fractions:

24 * (24/x) + 24 * (1/12) = 24 * (1/8)

This simplifies to:

576/x + 2 = 3

Now, let's subtract 2 from both sides of the equation:

576/x = 3 - 2

This simplifies to:

576/x = 1

To solve for x, we can cross-multiply:

576 = x

Therefore, the solution to the equation is x = 576.