SOLUTION: Hello, My math problem is: 12x + 131 = 189 + 3x It is telling me to solve the problem and check it. My answer is: x = 6 4/9 It is correct but when I do the checking, I can't

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Question 949128: Hello,
My math problem is: 12x + 131 = 189 + 3x
It is telling me to solve the problem and check it.
My answer is: x = 6 4/9
It is correct but when I do the checking, I can't seem to get it right? My answer for the check part:
12(6 4/9) + 131 = 189 + 3( 6 4/9)
77 22/3 + 131 = 189 + 19 1/3
But my score book says the right answer is:12(6 4/9) + 131 = 189 + 3( 6 4/9)
72 48/9 + 131 = 189 + 18 12/9
Please someone help? What am I doing wrong? Thank-you! I'm very confused.
Found 3 solutions by josgarithmetic, macston, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Basic Facts:
;
.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
12(6 4/9)=(12*6)+12(4/9)=72+48/912x + 131 = 189 + 3x
9x=58
x=58/9
CHECK:

Your problem is here:
12(6 4/9)=(12*6)+12(4/9)=72+48/9
Your answer of 77 22/3 is off. Maybe just a multiplication error.
The 19 1/3 is the same as 18 12/9 so that part is all right.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hello,
My math problem is: 12x + 131 = 189 + 3x
It is telling me to solve the problem and check it.
My answer is: x = 6 4/9
It is correct but when I do the checking, I can't seem to get it right? My answer for the check part:
12(6 4/9) + 131 = 189 + 3( 6 4/9)
77 22/3 + 131 = 189 + 19 1/3
But my score book says the right answer is:12(6 4/9) + 131 = 189 + 3( 6 4/9)
72 48/9 + 131 = 189 + 18 12/9
Please someone help? What am I doing wrong? Thank-you! I'm very confused.
 = 12(6) = 72, and 

Therefore,  = , or 



If you'd done the correct calculations, you'd have gotten: , which is the same as , leading to:



Continue with this, and you should get a TRUE equation.



OR 



For the check, you could use the IMPROPER FRACTION  as opposed to the mixed number, 

Therefore, you'd get: 







 ------ Multiplying by LCD, 3

232 + 393 = 567 + 58 ------- Simplifying NUMERATORS since all denominators are equal

625 = 625 (TRUE) 

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