Carmen32
Carmen32 Carmen32
  • 15-11-2017
  • Mathematics
contestada

3 (2x-3) -5 =16 pls help me find x in set notation

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zrh2sfo
zrh2sfo zrh2sfo
  • 15-11-2017
Solve for x:3 (2 x - 3) - 5 = 16
3 (2 x - 3) = 6 x - 9:
6 x - 9 - 5 = 16
Grouping like terms, 6 x - 9 - 5 = 6 x + (-9 - 5):6 x + (-9 - 5) = 16
-9 - 5 = -14:6 x + -14 = 16
Add 14 to both sides:6 x + (14 - 14) = 14 + 16
14 - 14 = 0:6 x = 16 + 14
16 + 14 = 30:6 x = 30

Divide both sides of 6 x = 30 by 6:(6 x)/6 = 30/6
6/6 = 1:x = 30/6

The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:Answer: x = 5
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