Answer
The value of x is 20
Expalantion
As given in question
[tex]x/5+x/2 = 14[/tex]
We have to determine the value of x
So, by taking LCM of given equation
[tex](2x + 5x)/10 = 14[/tex]
By taking 10 to other side of equation
[tex]2x + 5x = 14 * 10[/tex]
[tex]2x + 5x = 140[/tex]
[tex]7x = 140[/tex]
[tex]x = 140/7[/tex]
x = 20
