Question 148555
:
Assume you mean:
{{{5/2}}}x + {{{1/4}}}x = {{{3/4}}} + x
:
Multiply equation by 4 to get rid of the denominators,
4*{{{5/2}}}x + 4*{{{1/4}}}x = 4*{{{3/4}}} + 4(x)
:
cancel out the denominators and you have
2(5x) + 1x = 3 + 4x
:
10x + x - 4x = 3
:
7x = 3
x = {{{3/7}}}
:
:
Check solution,
Substitute 3/7 for x, use the common denominator of 28 and you have: 
{{{30/28}}} + {{{3/28}}} = {{{21/28}}} + {{{12/28}}}