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simplify the expression

(3x - 8) + (2x + 5) - (4x - 8)

1 answer

To simplify the expression \((3x - 8) + (2x + 5) - (4x - 8)\), we can follow these steps:

  1. Remove the parentheses, being careful to distribute any negative signs:

\[ (3x - 8) + (2x + 5) - (4x - 8) = 3x - 8 + 2x + 5 - 4x + 8 \]

  1. Combine like terms for the \(x\) terms and the constant terms:
  • For the \(x\) terms: \(3x + 2x - 4x = (3 + 2 - 4)x = 1x\) or simply \(x\).
  • For the constant terms: \(-8 + 5 + 8 = (-8 + 8) + 5 = 0 + 5 = 5\).
  1. Putting it all together, we get:

\[ x + 5 \]

Thus, the simplified expression is:

\[ \boxed{x + 5} \]