Given data:
it is given that twice the sum of a number and -2.8 is the same as 4.5 more than the number.
Let the required number be 'x', then we have
[tex]\begin{gathered} 2(x-2.8)=x+4.5 \\ 2x-5.6=x+4.5 \\ 2x-x=4.5+5.6 \\ x=10.1 \end{gathered}[/tex]So, the required number is x=10.1