Answer:
x = -4
Explanation:
It is often easiest to eliminate fractions first. Multiplying by the least common denominator (6), you have ...
2x -1 = 3(x +1)
2x -1 = 3x +3 . . . eliminate parentheses
-4 = x . . . . . . . . add -2x-3 to both sides
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Check
(2(-4) -1)/6 = -9/6 = (-4+1)/2 = -3/2 . . . . true