what is the value of x in the porportion 2x+7/3x-4=11/2

To find the value of x in the given proportion: 2x + 7 / 3x - 4 = 11 / 2, we can cross multiply.

By cross multiplication, we have:

(2x + 7) * 2 = (3x - 4) * 11

Expanding both sides:
4x + 14 = 33x - 44

Now, let's isolate the x term:
4x - 33x = -44 - 14
-29x = -58

Finally, divide both sides by -29 to solve for x:
x = (-58) / (-29)

Simplifying the expression:
x = 2

So, the value of x in the given proportion is 2.