To subtract the expression (4.5x - 5) - (3.5x - 10), we distribute the negative sing through the second expression within the parentheses and then combine like terms.
[tex](4.5x-5)-(4.5x-10)=4.5x-5-3.5x+10[/tex]
Now, we combine like terms:
[tex]4.5x-3.5x-5+10[/tex]
[tex]x+5[/tex]
Therefore, we have just proved that when you subtract the terms (4.5x - 5) - (3.5x - 10) it is equal to x + 5.