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9x=189x=18

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Q. 9x=189x=18
  1. Identify Operation & Goal: Identify the operation and the goal of the equation.\newlineThe equation is 9x=189x = 18, which means 99 times some number xx equals 1818. The goal is to find the value of xx.
  2. Isolate Variable x: Isolate the variable xx by performing the inverse operation.\newlineTo isolate xx, we need to perform the inverse operation of multiplication, which is division. We divide both sides of the equation by 99 to find the value of xx.\newlineCalculation: x=189x = \frac{18}{9}
  3. Perform Division: Perform the division to solve for xx.\newlineCalculation: x=189=2x = \frac{18}{9} = 2
  4. Check Solution: Check the solution by substituting the value of xx back into the original equation.\newlineCalculation: 9×2=189 \times 2 = 18\newlineCheck: Does 1818 equal 1818?\newlineYes, the left side of the equation equals the right side when xx is 22.