Question

14 less than 3 times a number is 5 more than half of the number

Answer 1

hope this will help you
let the no be x
3x-14=5+1/2x
6x-28=10+x
5x=38
x=7.6

Answer 2

Answer:

The required number is 7.6

Given problem:

14 less than 3 times a number is 5 more than half of the number

[ the given problem might be about finding a number, in which 14 less than 3 times a is 5 more than half of the number ]

Step-by-step explanation:  

Given that  

14 less than 3 times a number is 5 more than half of the number

let x be the required number  

now convert the above condition into mathematical expression

14 less than (-14) 3 times the number x, (3x) is 5 more half of the x (x/2)  

  ⇒   $3x - 14 = 5 + \frac{x}{2}$

        $3x - 14 = \frac{2(5) + x }{2}$  

     2(3x - 14) = 10 + x

       6x - 28  = 10 + x

           6x - x = 10 + 28

                5x = 38

                  x =  7.6