Answer:
x=2
Explanation:
To find the value of x in the equation:
(4x + 5) / (3x + 11) = 13 / 17
You can cross-multiply to solve for x:
17(4x + 5) = 13(3x + 11)
Now, distribute the numbers on the left and right sides of the equation:
68x + 85 = 39x + 143
Next, subtract 39x from both sides of the equation to isolate the x terms:
68x - 39x + 85 = 143
Combine like terms:
29x + 85 = 143
Now, subtract 85 from both sides:
29x = 143 - 85
29x = 58
Finally, divide by 29 to solve for x:
x = 58 / 29
x = 2
So, the value of x is 2.