SOLUTION: Find a number such that one-half of the number is 6 less than two-thirds of the number.

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Question 943256: Find a number such that one-half of the number is 6 less than two-thirds of the number.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
N is the number; (1/2)N=(2/3)N-6
Multiply each side by 2
N=(4/3)N-12 Add 12 to each side
+12+N=(4/3)N-12+12 subtract N from each side
12+N-N=(4/3)N-N
12=(1/3)N Multiply each side by 3
36=N ANSWER the number is 36
CHECK
1/2(36)=2/3(36)-6
18=24-6
18=18