So you have common denominators already so you . should be set to start fully solving for x:
add 1/4 on both sides
5x=3x-4/4 4/4=1
subtract 3x on both sides
2x=1
divide by 2 on both sides.
x=1/2
hope this helps!
rememer that you can do anything to an equation as long as you do it to both sides
5x-1/4=3x-5/4
minus 3x both sides
5x-3x-1/4=3x-3x-5/4
2x-1/4=0-5/4
2x-1/4=-5/4
add 1/4 to both sides
2x+1/4-1/4=1/4-5/4
2x+0=-4/4
2x=-1
divide both sides by 2
(2x)/2=-1/2
x(2/2)=-1/2
x(1)=-1/2
x=-1/2
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