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Solve for x : -6+x=-2x-(-x+6) Answer: x=

Solve for x x :\newline−6+x=−2x−(−x+6) -6+x=-2 x-(-x+6) \newlineAnswer: x= x=

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Full solution

Q. Solve for x x :\newline−6+x=−2x−(−x+6) -6+x=-2 x-(-x+6) \newlineAnswer: x= x=
  1. Distribute negative sign: Simplify the equation by distributing the negative sign on the right side of the equation. \newline−6+x=−2x−(−x+6)-6 + x = -2x - (-x + 6)\newline−6+x=−2x+x−6-6 + x = -2x + x - 6
  2. Combine like terms: Combine like terms on the right side of the equation.\newline−6+x=(−2x+x)−6-6 + x = (-2x + x) - 6\newline−6+x=−x−6-6 + x = -x - 6
  3. Add xx terms: Add xx to both sides to get all the xx terms on one side.\newline−6+x+x=−x−6+x-6 + x + x = -x - 6 + x\newline−6+2x=−6-6 + 2x = -6
  4. Cancel out −6-6: Since −6-6 is on both sides of the equation, they cancel each other out.−6+2x+6=−6+6-6 + 2x + 6 = -6 + 62x=02x = 0
  5. Divide by 22: Divide both sides by 22 to solve for xx.2x2=02\frac{2x}{2} = \frac{0}{2}x=0x = 0

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