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.

Answer 1

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:

\[ \boxed{8x - 13} \]