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.