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

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


Simplifying
abs(5x + 4) = abs(5x + -9)

Reorder the terms:
abs(4 + 5x) = abs(5x + -9)
(4 * abs + 5x * abs) = abs(5x + -9)
(4abs + 5absx) = abs(5x + -9)

Reorder the terms:
4abs + 5absx = abs(-9 + 5x)
4abs + 5absx = (-9 * abs + 5x * abs)
4abs + 5absx = (-9abs + 5absx)

Add '-5absx' to each side of the equation.
4abs + 5absx + -5absx = -9abs + 5absx + -5absx

Combine like terms: 5absx + -5absx = 0
4abs + 0 = -9abs + 5absx + -5absx
4abs = -9abs + 5absx + -5absx

Combine like terms: 5absx + -5absx = 0
4abs = -9abs + 0
4abs = -9abs

Solving
4abs = -9abs

Solving for variable 'a'.

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

Add '9abs' to each side of the equation.
4abs + 9abs = -9abs + 9abs

Combine like terms: 4abs + 9abs = 13abs
13abs = -9abs + 9abs

Combine like terms: -9abs + 9abs = 0
13abs = 0

Divide each side by '13'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

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