Answer:
[tex]\boxed{-2 - 3x}[/tex]
Step-by-step explanation:
To subtract [tex]6 - 3x[/tex] from [tex]4 - 6x[/tex], you subtract each term of the expression [tex]6 - 3x[/tex] from the corresponding term of [tex]4 - 6x[/tex]:
[tex] (4 - 6x) - (6 - 3x) [/tex]
Now, distribute the negative sign to each term inside the parentheses:
[tex] 4 - 6x - 6 + 3x [/tex]
Combine like terms:
[tex] (4 - 6) + (-6x + 3x) [/tex]
[tex] -2 - 3x [/tex]
Therefore, the difference is [tex]\boxed{-2 - 3x}[/tex].
