abs(x+2)=abs(x-3)

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Solution for abs(x+2)=abs(x-3) equation:


Simplifying
abs(x + 2) = abs(x + -3)

Reorder the terms:
abs(2 + x) = abs(x + -3)
(2 * abs + x * abs) = abs(x + -3)
(2abs + absx) = abs(x + -3)

Reorder the terms:
2abs + absx = abs(-3 + x)
2abs + absx = (-3 * abs + x * abs)
2abs + absx = (-3abs + absx)

Add '-1absx' to each side of the equation.
2abs + absx + -1absx = -3abs + absx + -1absx

Combine like terms: absx + -1absx = 0
2abs + 0 = -3abs + absx + -1absx
2abs = -3abs + absx + -1absx

Combine like terms: absx + -1absx = 0
2abs = -3abs + 0
2abs = -3abs

Solving
2abs = -3abs

Solving for variable 'a'.

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

Add '3abs' to each side of the equation.
2abs + 3abs = -3abs + 3abs

Combine like terms: 2abs + 3abs = 5abs
5abs = -3abs + 3abs

Combine like terms: -3abs + 3abs = 0
5abs = 0

Divide each side by '5'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

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