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Solve the equation for x in terms of c. \large \sf (2)/(3) (cx + (1)/(2) ) - (1)/(4) = (5)/(2) ​

Solve the equation for x in terms of c. \large \sf (2)/(3) (cx + (1)/(2) ) - (1)/(4) = (5)/(2) ​
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18 votes
Solve the equation for x in terms of c.


\large \sf (2)/(3) (cx + (1)/(2) ) - (1)/(4) = (5)/(2)
​

User BAKE ZQ
by
7.4k points

1 Answer

7 votes

Answer:

  • x = 29 / (8c)

Explanation:

  • (2/3)(cx + 1/2) - 1/4 = 5/2
  • (2/3)cx + 1/3 - 1/4 = 5/2
  • (2/3)cx + 1/12 = 5/2 Multiply all terms by 12
  • 8cx + 1 = 30
  • 8cx = 29
  • x = 29 / (8c)

User Seth Lutske
by
8.6k points
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