abs(3x+10)=-(4x-2)

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Solution for abs(3x+10)=-(4x-2) equation:


Simplifying
abs(3x + 10) = -1(4x + -2)

Reorder the terms:
abs(10 + 3x) = -1(4x + -2)
(10 * abs + 3x * abs) = -1(4x + -2)
(10abs + 3absx) = -1(4x + -2)

Reorder the terms:
10abs + 3absx = -1(-2 + 4x)
10abs + 3absx = (-2 * -1 + 4x * -1)
10abs + 3absx = (2 + -4x)

Solving
10abs + 3absx = 2 + -4x

Solving for variable 'a'.

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

Reorder the terms:
-2 + 10abs + 3absx + 4x = 2 + -4x + -2 + 4x

Reorder the terms:
-2 + 10abs + 3absx + 4x = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
-2 + 10abs + 3absx + 4x = 0 + -4x + 4x
-2 + 10abs + 3absx + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 10abs + 3absx + 4x = 0

The solution to this equation could not be determined.

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