Questions: (-5x+8)-(2+x)= A. -6x+6 B. -6x+10 C. -4x+10 D. 4x+6 E. 6x+6

(-5x+8)-(2+x)=

A. -6x+6
B. -6x+10
C. -4x+10
D. 4x+6
E. 6x+6
Transcript text: \[ (-5 x+8)-(2+x)= \] A. $-6 x+6$ B. $-6 x+10$ C. $-4 x+10$ D. $4 x+6$ E. $6 x+6$
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Solution

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Solution Steps

Step 1: Distribute and Simplify the Expression

The given expression is:

\[ (-5x + 8) - (2 + x) \]

First, distribute the negative sign across the second set of parentheses:

\[ = -5x + 8 - 2 - x \]

Step 2: Combine Like Terms

Combine the like terms in the expression:

  • Combine the \(x\) terms: \(-5x - x = -6x\)
  • Combine the constant terms: \(8 - 2 = 6\)

This gives us:

\[ = -6x + 6 \]

Final Answer

The simplified expression is:

\[ \boxed{-6x + 6} \]

Thus, the correct answer is A.

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