Answer:
x = 108
Explanation:
To solve the equation x/6 - 6 = x/18 + 6, we first need to get rid of the fractions by multiplying both sides by the least common multiple of the denominators, which in this case is 18.
So, we have:
18(x/6 - 6) = 18(x/18 + 6)
Simplifying this, we get:
3x - 108 = x + 108
Next, we want to isolate the variable x on one side of the equation, so we'll subtract x from both sides:
2x - 108 = 108
Finally, we'll add 108 to both sides to get:
2x = 216
Dividing both sides by 2, we get:
x = 108
Therefore, the value of x that makes the equation true is 108.