SOLUTION: If 24 is subtracted from three times a certain number, the result is 3/2 the original number. What is the number?

Question 834309: If 24 is subtracted from three times a certain number, the result is 3/2 the original number. What is the number?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
3x - 24 = 3/2
add 24 to both sides of the equation to get:
3x = 24 + 3/2
divide both sides of the equation by 3 to get
x = (24 + 3/2) / 3
multiply the right side of the equation by 2/2 to get:
x = (24 + 3/2)*2 / (3 * 2)
distribute the multiplkication in the numerator to get:
x = (24*2 + (3/2)*2 / (3*2)
simplify to get:
x = (48 + 3) / 6
simplify further to get:
x = 51 / 6
since that doesn't appear that it can be simplified further, then that should be your answer.
to confirm, substitute for x in the original equation to get:
3 * (51/6) - 24 = 3/2
add 24 to both sides of this equation to get:
3 * (51/6) = 24 + 3/2
simplify to get:
51/2 = 24 + 3/2
convert the improper fraction on the left side of this equation to a mixed fraction to get:
24 + 3/2 = 24 + 3/2 confirming the solution is good.
your answer is x = 51/6.

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