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Simplify [tex]\((4x - 6) - (3x + 6)\)[/tex].

A. [tex]\(x - 12\)[/tex]
B. [tex]\(-x - 12\)[/tex]
C. [tex]\(x + 12\)[/tex]
D. [tex]\(-x + 12\)[/tex]

Sagot :

GinnyAnsweridn
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]
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