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Solve for all values of x in simplest form. 2|x-3|-7=11 Answer: x=

Solve for all values of x x in simplest form.\newline2∣x−3∣−7=11 2|x-3|-7=11 \newlineAnswer: x= x=

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Evaluate absolute value expressionsright chevron icon

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Q. Solve for all values of x x in simplest form.\newline2∣x−3∣−7=11 2|x-3|-7=11 \newlineAnswer: x= x=
  1. Isolate absolute value expression: Start by isolating the absolute value expression on one side of the equation.\newlineAdd 77 to both sides of the equation to get:\newline2∣x−3∣−7+7=11+72|x - 3| - 7 + 7 = 11 + 7
  2. Simplify equation: Simplify both sides of the equation. 2∣x−3∣=182|x - 3| = 18
  3. Divide by 22: Divide both sides of the equation by 22 to solve for the absolute value expression.\newline(2∣x−3∣)/2=18/2(2|x - 3|) / 2 = 18 / 2
  4. Set up two equations: Simplify the equation after dividing. ∣x−3∣=9|x - 3| = 9
  5. Solve first equation: Set up two separate equations to account for the absolute value, one for the positive value and one for the negative value.\newlinex−3=9x - 3 = 9 or x−3=−9x - 3 = -9
  6. Solve second equation: Solve the first equation for xx.x−3=9x - 3 = 9Add 33 to both sides:x=9+3x = 9 + 3x=12x = 12
  7. Solve second equation: Solve the first equation for xx.x−3=9x - 3 = 9Add 33 to both sides:x=9+3x = 9 + 3x=12x = 12Solve the second equation for xx.x−3=−9x - 3 = -9Add 33 to both sides:x=−9+3x = -9 + 3x=−6x = -6

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