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Solve for x : 9.7 x=1-9.1(-x+1)+x Answer: x=

Solve for x x :\newline9.7x=1−9.1(−x+1)+x 9.7 x=1-9.1(-x+1)+x \newlineAnswer: x= x=

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Full solution

Q. Solve for x x :\newline9.7x=1−9.1(−x+1)+x 9.7 x=1-9.1(-x+1)+x \newlineAnswer: x= x=
  1. Distribute −9.1-9.1: Identify the terms that contain xx and simplify the equation.\newlineFirst, distribute the −9.1-9.1 inside the parentheses: −9.1(−x)+−9.1(1)-9.1(-x) + -9.1(1).
  2. Combine terms: Perform the distribution: −9.1(−x)-9.1(-x) becomes +9.1x+9.1x and −9.1(1)-9.1(1) becomes −9.1-9.1. So the equation now is: 9.7x=1+9.1x−9.19.7x = 1 + 9.1x - 9.1.
  3. Subtract 9.1x9.1x: Combine like terms on the right side of the equation: 1−9.11 - 9.1 simplifies to −8.1-8.1. Now the equation is: 9.7x=−8.1+9.1x9.7x = -8.1 + 9.1x.
  4. Combine like terms: Subtract 9.1x9.1x from both sides to get all xx terms on one side.\newline9.7x−9.1x=−8.19.7x - 9.1x = -8.1.
  5. Divide by 00.66: Combine like terms on the left side: 9.7x−9.1x9.7x - 9.1x simplifies to 0.6x0.6x. Now the equation is: 0.6x=−8.10.6x = -8.1.
  6. Perform division: Divide both sides by 0.60.6 to solve for xx.\newlinex=−8.10.6x = \frac{-8.1}{0.6}.
  7. Perform division: Divide both sides by 0.60.6 to solve for xx.\newlinex=−8.1/0.6x = -8.1 / 0.6.Perform the division to find the value of xx.\newlinex=−13.5x = -13.5.

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