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Solve for xx.\newline 9x−2=38−99x - 2 = 3^8 - 9

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Full solution

Q. Solve for xx.\newline 9x−2=38−99x - 2 = 3^8 - 9
  1. Simplify Equation: Simplify the right side of the equation by calculating 383^8 and subtracting 99. \newline38=65613^8 = 6561\newline6561−9=65526561 - 9 = 6552\newlineSo, the equation becomes 9x−2=65529x - 2 = 6552.
  2. Addition to Isolate x: Add 22 to both sides of the equation to isolate the term with xx on one side.\newline9x−2+2=6552+29x - 2 + 2 = 6552 + 2\newline9x=65549x = 6554
  3. Divide to Solve for x: Divide both sides of the equation by 99 to solve for xx.\newline9x9=65549\frac{9x}{9} = \frac{6554}{9}\newlinex=728x = 728

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