Question

$\frac{5x-3}{2} - \frac{4}{5} + \frac{2x}{3} = \frac{17x-8}{6} - \frac{1}{2}$

Answer 1

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(5x - 3)/2 - x/5 + 2x/3 = (17x - 8)/6 - 1/2

mmc(2, 3, 5, 6) = 30

15*(5x - 3) - 6x + 20x = 5*(17x - 8) - 15

75x - 45 - 6x + 20x = 85x - 40 - 15

89x - 45 = 85x - 55 

4x = -10

x = -5/2