Question

Please help. What is the value of x in the proportion 2x+7/3x-4=11/2

Answer 1

2x+7/3x−4=11/2

2x+7/3x−4=11/2
13/3x−4=11/2
133x−4+4=11/2+4
13/3x=19/2
(3/13)*(13/3x)=(3/13)*(19/2)
x=57/26 = 2.41

Hoped I helped!

Answer 2

2x + 7x/3 - 4 = 11/2

Add both sides by 4, 
2x + 7x/3 = 11/2 + 4

Take LCM on both sides, 
6x+7x / 3 = 11+8 / 2
13x / 3 = 19/2

Now, Cross-Multiply them:
2(13x) = 3(19)
26x = 57
x = 57/26

In short, Your Answer would be 57/26

Hope this helps!