You did it right.
1 1/2x-4 2/3=11/6
1 1/2x = 11/6 + 4 2/3
1 1/2x = 11/6 + 28/6
1 1/2x = 39/6 = 6 1/2
x = (39/6) / (3/2)
x = (39/6) * (2/3)
x = 78/18 = 4 1/3
1 1/2x-4 2/3=11/6
not sure on how to put fractions in on the computer.
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