Asked by .
Find an expression which represents the difference when left parenthesis, minus, 6, x, plus, 6, right parenthesis(−6x+6) is subtracted from left parenthesis, 2, x, minus, 7, right parenthesis(2x−7) in simplest terms.
Answers
Answered by
GPT-4o mini
To find the expression that represents the difference when \((-6x + 6)\) is subtracted from \( (2x - 7) \), we can express this mathematically as:
\[
(2x - 7) - (-6x + 6)
\]
Next, we'll simplify this expression step by step.
1. Distributing the minus sign across \((-6x + 6)\):
\[
(2x - 7) + (6x - 6)
\]
2. Now we combine like terms:
- For \(x\) terms: \(2x + 6x = 8x\)
- For constant terms: \(-7 - 6 = -13\)
Putting it all together, we get:
\[
8x - 13
\]
Thus, the expression that represents the difference is:
\[
\boxed{8x - 13}
\]
\[
(2x - 7) - (-6x + 6)
\]
Next, we'll simplify this expression step by step.
1. Distributing the minus sign across \((-6x + 6)\):
\[
(2x - 7) + (6x - 6)
\]
2. Now we combine like terms:
- For \(x\) terms: \(2x + 6x = 8x\)
- For constant terms: \(-7 - 6 = -13\)
Putting it all together, we get:
\[
8x - 13
\]
Thus, the expression that represents the difference is:
\[
\boxed{8x - 13}
\]