=ln(x)-ln(1-x)+3.9*(1-2*x)

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Solution for =ln(x)-ln(1-x)+3.9*(1-2*x) equation:


Simplifying
0 = ln(x) + -1ln(1 + -1x) + 3.9(1 + -2x)

Multiply ln * x
0 = lnx + -1ln(1 + -1x) + 3.9(1 + -2x)
0 = lnx + (1 * -1ln + -1x * -1ln) + 3.9(1 + -2x)
0 = lnx + (-1ln + 1lnx) + 3.9(1 + -2x)
0 = lnx + -1ln + 1lnx + (1 * 3.9 + -2x * 3.9)
0 = lnx + -1ln + 1lnx + (3.9 + -7.8x)

Reorder the terms:
0 = 3.9 + -1ln + lnx + 1lnx + -7.8x

Combine like terms: lnx + 1lnx = 2lnx
0 = 3.9 + -1ln + 2lnx + -7.8x

Solving
0 = 3.9 + -1ln + 2lnx + -7.8x

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add 'ln' to each side of the equation.
0 + ln = 3.9 + -1ln + 2lnx + ln + -7.8x
Remove the zero:
ln = 3.9 + -1ln + 2lnx + ln + -7.8x

Reorder the terms:
ln = 3.9 + -1ln + ln + 2lnx + -7.8x

Combine like terms: -1ln + ln = 0
ln = 3.9 + 0 + 2lnx + -7.8x
ln = 3.9 + 2lnx + -7.8x

Add '-2lnx' to each side of the equation.
ln + -2lnx = 3.9 + 2lnx + -2lnx + -7.8x

Combine like terms: 2lnx + -2lnx = 0
ln + -2lnx = 3.9 + 0 + -7.8x
ln + -2lnx = 3.9 + -7.8x

Reorder the terms:
-3.9 + ln + -2lnx + 7.8x = 3.9 + -7.8x + -3.9 + 7.8x

Reorder the terms:
-3.9 + ln + -2lnx + 7.8x = 3.9 + -3.9 + -7.8x + 7.8x

Combine like terms: 3.9 + -3.9 = 0.0
-3.9 + ln + -2lnx + 7.8x = 0.0 + -7.8x + 7.8x
-3.9 + ln + -2lnx + 7.8x = -7.8x + 7.8x

Combine like terms: -7.8x + 7.8x = 0.0
-3.9 + ln + -2lnx + 7.8x = 0.0

The solution to this equation could not be determined.

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