Question

five less than twice a number is equal to one half the difference of three times a number and three find the number

Answer 1

let

the number = x

`\begin{gathered} 2x-5=(1)/(2)(3x-3) \\ 2x-5=(3x)/(2)-(3)/(2) \\ 2x-(3x)/(2)=-(3)/(2)+5 \\ (4x-3x)/(2)=(-3+10)/(2) \\ (x)/(2)=(7)/(2) \\ 2x=14 \\ x=(14)/(2) \\ x=7 \end{gathered}`

The number is 7