To simplify the expression [tex]\((4x - 6) - (3x + 6)\)[/tex], follow these detailed steps:
1. Distribute the negative sign inside the parenthesis:
[tex]\[(4x - 6) - 3x - 6\][/tex]
2. Combine like terms:
[tex]\[4x - 3x - 6 - 6\][/tex]
3. Subtract [tex]\(3x\)[/tex] from [tex]\(4x\)[/tex]:
[tex]\[(4x - 3x) = x\][/tex]
4. Combine the constant terms:
[tex]\[-6 - 6 = -12\][/tex]
Thus, the simplified expression is:
[tex]\[x - 12\][/tex]
So, the correct answer is:
[tex]\[x - 12\][/tex]
