Answer:
[tex]\large \boxed{2.6}[/tex]
Step-by-step explanation:
Let x = the number
Then x + 5 = the number increased by 5
x + 5 - 3 = then decreased by 3
½(x + 5 - 3) = then halved
x - 0.3 = 0.3 less than the number
[tex]\begin{array}{rcl}\frac{1}{2}(x + 5 - 3) & = & x - 0.3\\\frac{1}{2}(x + 2) & = & x - 0.3\\x + 2 & = & 2x - 0.6\\x + 2.6 & = & 2x\\x & = &\mathbf{2.6}\\\end{array}\\\text{The number is $\large \boxed{\mathbf{2.6}}$}[/tex]
Check:
½(2.6 + 5 - 3) = 2.6 - 0.3
½(4.6) = 2.3
2.3 = 2.3
OK.
