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Verified answer
1/2 (x+3) = 1/3 (x-2)1/2x + 3/2 = 1/3x - 2/3
1/2x - 1/3x = -2/3 -3/2
3/6x - 2/6x = -4/6 -9/6
1/6x = -13/6
x = -13/6 (6/1)
x = -13