SOLUTION: if 10 is subtracted from one-half of a number, the result is 2 more than one-third of the number. What is the number?

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Question 992113: if 10 is subtracted from one-half of a number, the result is 2 more than one-third of the number. What is the number?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
1/2x-10= 1/3x+2 multiply both denominators: 2*3= 6. Now multiply both sides times 6:
(6)1/2x-(6)10= (6)1/3x+(6)2
3x-60= 2x+12 Now do this on BOTH sides: Subtract 2x; add 60. Do it and you'll have:
x= 72 Let's put this number in the original equation and see if we've got the correct answer:
1/2(72)-10= 1/3(72)+2
36-10= 24+2
26= 26 We have the correct answer, x= 72