Best Approach would be by Multiply through by the LCM of the Denominators (2,3,4).
LCM = 12
12(½x) – (12)(5/3) = (12)(–½x) + (12)(19/4).
6x – 20 = –6x + 57
6x + 6x = 57 + 20
12x = 77
x = 77/12
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