5x+(10ln(abs(9x-5)))-(10ln(abs(4x-5)))=

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Solution for 5x+(10ln(abs(9x-5)))-(10ln(abs(4x-5)))= equation: 


Simplifying
5x + (10ln(abs(9x + -5))) + -1(10ln(abs(4x + -5))) = 0

Reorder the terms:
5x + (10ln(abs(-5 + 9x))) + -1(10ln(abs(4x + -5))) = 0
5x + (10ln((-5 * abs + 9x * abs))) + -1(10ln(abs(4x + -5))) = 0
5x + (10ln((-5abs + 9absx))) + -1(10ln(abs(4x + -5))) = 0
5x + ((-5abs * 10ln + 9absx * 10ln)) + -1(10ln(abs(4x + -5))) = 0
5x + ((-50ablns + 90ablnsx)) + -1(10ln(abs(4x + -5))) = 0
5x + (-50ablns + 90ablnsx) + -1(10ln(abs(4x + -5))) = 0

Remove parenthesis around (-50ablns + 90ablnsx)
5x + -50ablns + 90ablnsx + -1(10ln(abs(4x + -5))) = 0

Reorder the terms:
5x + -50ablns + 90ablnsx + -1(10ln(abs(-5 + 4x))) = 0
5x + -50ablns + 90ablnsx + -1(10ln((-5 * abs + 4x * abs))) = 0
5x + -50ablns + 90ablnsx + -1(10ln((-5abs + 4absx))) = 0
5x + -50ablns + 90ablnsx + -1((-5abs * 10ln + 4absx * 10ln)) = 0
5x + -50ablns + 90ablnsx + -1((-50ablns + 40ablnsx)) = 0
5x + -50ablns + 90ablnsx + (-50ablns * -1 + 40ablnsx * -1) = 0
5x + -50ablns + 90ablnsx + (50ablns + -40ablnsx) = 0

Reorder the terms:
-50ablns + 50ablns + 90ablnsx + -40ablnsx + 5x = 0

Combine like terms: -50ablns + 50ablns = 0
0 + 90ablnsx + -40ablnsx + 5x = 0
90ablnsx + -40ablnsx + 5x = 0

Combine like terms: 90ablnsx + -40ablnsx = 50ablnsx
50ablnsx + 5x = 0

Solving
50ablnsx + 5x = 0

Solving for variable 'a'.

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

Add '-5x' to each side of the equation.
50ablnsx + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
50ablnsx + 0 = 0 + -5x
50ablnsx = 0 + -5x
Remove the zero:
50ablnsx = -5x

Divide each side by '50blnsx'.
a = -0.1b-1l-1n-1s-1

Simplifying
a = -0.1b-1l-1n-1s-1

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