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Sticky Note
What is the value of x in the equation x/5 - 3x/2 = 7 + x/2?
  1. -35/9
  2. 35/9
  3. -18/70
  4. 5
Explanation

Given:  

x/5 - (3x/2) = 7 + x/2


Step 1: Eliminate fractions by finding a common denominator  

The LCM of 5 and 2 is 10. Multiply both sides of the equation by 10:


10 × (x/5 - 3x/2) = 10 × (7 + x/2)


(2x - 15x) = 70 + 5x  

-13x = 70 + 5x


Step 2: Move all terms to one side


-13x - 5x = 70  

-18x = 70


Step 3: Solve for x


x = 70 / -18 = -35/9


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