Answer:
x = 4 5/6
Step-by-step explanation:
The fractions have denominators of 4 and 8. The least common multiple of these is 8, so we can eliminate fractions by multiplying both sides of the equation by 8.
8(3/4x -3) = 8(5/8)
6x -24 = 5 . . . . . . . . . eliminate parentheses
6x = 29 . . . . . . . . add 24
x = 29/6 = 4 5/6 . . . . divide by 6
The solution is x = 4 5/6.
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Check
Substituting 26/6 for x, we get ...
(3/4)(29/6) -3 = 5/8
29/8 -3 = 5/8
(29 -24)/8 = 5/8 . . . . . true
