Answer:
x = 2
Explanation:
To simplify the given equation:
(15/x - 5) - 5 = (21/x - 6) - 7
First, let's simplify the algebraic expressions within the parentheses.
(15/x - 10) = (21/x - 13)
Now, let's multiply both sides of the equation by the common denominator, which is x.
x * (15/x - 10) = x * (21/x - 13)
This simplifies to:
15 - 10x = 21 - 13x
Next, let's combine like terms.
-10x + 15 = -13x + 21
Adding 10x to both sides of the equation:
15 = -3x + 21
Now, subtract 21 from both sides of the equation:
15 - 21 = -3x
-6 = -3x
Finally, divide both sides by -3 to solve for x:
x = -6 / -3
Simplifying the expression, we find: