8x+3/2(x-2)=4x/x-5 please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please answer thisssssssssssssssssss
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Answer:
x = 6 and x= 5/19
Step-by-step explanation:
8x+3/2(x-2)=4x/(x-5)
8x + (3x - 6)/2 = 4x / (x - 5)
(16x + 3x - 6)/2= 4x / (x - 5)
(19x - 6) = 8x / (x - 5)
(19x - 6) (x - 5) = 8x
19x^2 -6x - 95x + 30 = 8x
19x^2 - 109x + 30 = 0
19x^2 - 104x - 5x + 30 = 0
19x( x - 6) -5(x - 6) =0
(x-6)(19x-5) = 0
so, x - 6 = 0 and 19x - 5 = 0
x = 6 and x= 5/19
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