To solve the equation, we need to isolate the variable x.
First, we can start by multiplying both sides of the equation by (x + 76) to remove the denominator:
2369 ÷ (x + 76) * (x + 76) = 23 * (x + 76)
2369 = 23(x + 76)
Next, we can distribute 23 to both terms inside the parenthesis:
2369 = 23x + 23 * 76
Simplifying the right side:
2369 = 23x + 1748
Now, let's isolate the variable x by subtracting 1748 from both sides:
2369 - 1748 = 23x + 1748 - 1748
621 = 23x
Finally, divide both sides by 23 to solve for x:
621/23 = (23x)/23
x = 27
So the value of x that satisfies the equation is 27.
