Solve: 1/2a+b+2x=1/2a+1/b+1/2x
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Step-by-step explanation:
1/(2a+b+2x) - 1 / (2x) = 1 / 2a + 1 / b
(2x - 2a - b - 2x) / (2x)(2a+b+2x) = (2a + b) / 2ab -(2a + b) / (2x)(2a+b+2x)
= (2a + b) / 2ab 2a + b gets cancelled. -2ab
= (2x)(2a+b+2x) -2ab
= 4ax + 2bx + 4x2 4x2 + 2bx + 4ax + 2ab = 0 2x(2x + b) + 2a(2x + b)
= 0 (2x +2a)(2x + b) = 0
2x + 2a = 0
x = - a
2x + b = 0
x = - b / 2 So,
x = -a , -b/2.
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