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Solve for x. -4(-x+5)-5x+1=-27 Answer:

Solve for x \mathrm{x} .\newline−4(−x+5)−5x+1=−27 -4(-x+5)-5 x+1=-27 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline−4(−x+5)−5x+1=−27 -4(-x+5)-5 x+1=-27 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the −4-4 inside the parentheses.\newline−4(−x)+−4(5)−5x+1=−27-4(-x) + -4(5) - 5x + 1 = -27\newline4x−20−5x+1=−274x - 20 - 5x + 1 = -27
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline(4x−5x)+(−20+1)=−27(4x - 5x) + (-20 + 1) = -27\newline−x−19=−27-x - 19 = -27
  3. Isolate Variable Term: Add 1919 to both sides of the equation to isolate the term with the variable xx. \newline−x−19+19=−27+19-x - 19 + 19 = -27 + 19\newline−x=−8-x = -8
  4. Solve for x: Multiply both sides by −1-1 to solve for x.\newline−x×−1=−8×−1-x \times -1 = -8 \times -1\newlinex=8x = 8

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