X+1/x+2 - x+3/x+4 = 10/3 solve the equation
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x + 1/x +2 - x + 3/x + 4 = 10/3
multiply x both side
x² +1 + 2x -x² + 3 +4x = 10x/3
1 + 2x + 3 +4x = 10x/3
4 + 6x = 10x/3
multiply 3 both side
12 + 18x = 10x
18x - 10x +12 = 0
8x + 12 = 0
8x = -12
x = -12/8
x = -3/2
multiply x both side
x² +1 + 2x -x² + 3 +4x = 10x/3
1 + 2x + 3 +4x = 10x/3
4 + 6x = 10x/3
multiply 3 both side
12 + 18x = 10x
18x - 10x +12 = 0
8x + 12 = 0
8x = -12
x = -12/8
x = -3/2
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