<PRE><B>Question 88822</B>
1/4(x)+3/2(x)=7.
:
{{{(1/4)x + (3/2)x }}} = 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:

{{{(4)(1/4)x + (4)(3/2)x }}} = (4)7
:
Cancel out the denominators and you have:
  1x + 2(3x) = 28
:
x + 6x = 28
:
7x = 28
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x = 28/7; divided both sides by 7
:
x = 4
:
:
Check solution, substitute 4 for x in the original equation
{{{(1/4)4 + (3/2)4 }}} = 7
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 1 + 6 =  7
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Did this help you?</PRE>