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Solve for x. 2(-4x+1)+5x-5=-6 Answer:

Solve for x x.\newline2(−4x+1)+5x−5=−6 2(-4 x+1)+5 x-5=-6

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Full solution

Q. Solve for x x.\newline2(−4x+1)+5x−5=−6 2(-4 x+1)+5 x-5=-6
  1. Distribute and Simplify: First, distribute the 22 into the parentheses.2(−4x)+2(1)+5x−5=−62(-4x) + 2(1) + 5x - 5 = -6−8x+2+5x−5=−6-8x + 2 + 5x - 5 = -6
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline(−8x+5x)+(2−5)=−6(-8x + 5x) + (2 - 5) = -6\newline−3x−3=−6-3x - 3 = -6
  3. Add and Isolate: Add 33 to both sides to isolate the term with the variable xx. \newline−3x−3+3=−6+3-3x - 3 + 3 = -6 + 3\newline−3x=−3-3x = -3
  4. Divide and Solve: Divide both sides by −3-3 to solve for xx.−3x−3=−3−3\frac{-3x}{-3} = \frac{-3}{-3}x=1x = 1

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