Question 774814
I'm having trouble with this equation: (x-5)/2 + (1/2)=2x-(x-3)/8
I kind of remember this from algebra 1 but not quite. Don't I have to multiply everything by the common denominator? I'm confused. Thanks


Yes, you do!! That's the easiest way to approach the problem so you can get rid of the fractions


{{{(x - 5)/2 + 1/2 = 2x - (x - 3)/8}}}


4(x - 5) + 4 = 16x - (x - 3) ------ Multiplying by LCD, 8


4x - 20 + 4 = 16x - x + 3


4x - 16 = 15x + 3


4x - 15x = 3 + 16


- 11x = 19


x = {{{19/(- 11)}}}, or {{{highlight_green(- 1&8/11)}}}


You can do the check!! 


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