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Q1. x/2 + 2x/3 + 3x/4 = 5/6
LCM of 2, 3 and 4 is 12.
6x/12 + 8x/12 + 9x/12 = 5/6
6x + 8x + 9x/12 = 5/6
23x/12 = 5/6
23x = 5/6 x 12
23x = 5x2
23x = 10
x = 10/23
Q2. 5 - (x - 1/2) + 5/6 = 3x/12
5 - x + 1/2 + 5/6 = x/4
5 - 1/2 + 5/6 = x/4 + x
30/6 - 3/6 + 5/6 = x + 4x/4
30-3+5/6 = 5x/4
28/6 = 5x/4
14/3 = 5x/4
14 x 4 = 5x x 3
56 = 15x
56/15 = x
Q3. x+5/6 - 3-x/2 = 5x - 2/12
x+5/6 - 9 - 3x/6 = 5x - 2/12
x + 5 - 9 - 3x/6 = 5x - 2/12
-2x - 4/6 = 5x - 2/12
-x - 2/3 = 5x - 2/12
12(-x - 2) = 3(5x - 2)
-12x - 24 = 15x - 2
-12x - 15x = - 2 + 24
-27x = 12
x = 12/-27
x = 4/-9
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