SOLUTION: The problem that I am having trouble with is 1/4(x)+3/2(x)=7. My problem is that I don't know how to work this with the fractions being involved. I have been told to do LCD but not

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Question 88822: The problem that I am having trouble with is 1/4(x)+3/2(x)=7. My problem is that I don't know how to work this with the fractions being involved. I have been told to do LCD but not sure that I understand how to do that. Please help me if at all possible.
Thanks,
Amber
Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
You can put this solution on YOUR website!
1/4(x)+3/2(x)=7.
:
%281%2F4%29x+%2B+%283%2F2%29x+ = 7
:
You should be able to see that the common denominator would be 4:
Multiply the equation by 4, that means multiply each term by 4:
%284%29%281%2F4%29x+%2B+%284%29%283%2F2%29x+ = (4)7
:
Cancel out the denominators and you have:
1x + 2(3x) = 28
:
x + 6x = 28
:
7x = 28
:
x = 28/7; divided both sides by 7
:
x = 4
:
:
Check solution, substitute 4 for x in the original equation
%281%2F4%294+%2B+%283%2F2%294+ = 7
:
1 + 6 = 7
:
:
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