Abs(2-5x)=5abs(x+1)

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Solution for Abs(2-5x)=5abs(x+1) equation:


Simplifying
Abs(2 + -5x) = 5abs(x + 1)
(2 * bsA + -5x * bsA) = 5abs(x + 1)
(2bsA + -5bsxA) = 5abs(x + 1)

Reorder the terms:
2bsA + -5bsxA = 5abs(1 + x)
2bsA + -5bsxA = (1 * 5abs + x * 5abs)
2bsA + -5bsxA = (5abs + 5absx)

Solving
2bsA + -5bsxA = 5abs + 5absx

Solving for variable 'b'.

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

Add '-5abs' to each side of the equation.
2bsA + -5abs + -5bsxA = 5abs + -5abs + 5absx

Reorder the terms:
-5abs + 2bsA + -5bsxA = 5abs + -5abs + 5absx

Combine like terms: 5abs + -5abs = 0
-5abs + 2bsA + -5bsxA = 0 + 5absx
-5abs + 2bsA + -5bsxA = 5absx

Add '-5absx' to each side of the equation.
-5abs + 2bsA + -5absx + -5bsxA = 5absx + -5absx

Reorder the terms:
-5abs + -5absx + 2bsA + -5bsxA = 5absx + -5absx

Combine like terms: 5absx + -5absx = 0
-5abs + -5absx + 2bsA + -5bsxA = 0

Factor out the Greatest Common Factor (GCF), 'bs'.
bs(-5a + -5ax + 2A + -5xA) = 0

Subproblem 1

Set the factor 'bs' equal to zero and attempt to solve: Simplifying bs = 0 Solving bs = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5a + -5ax + 2A + -5xA)' equal to zero and attempt to solve: Simplifying -5a + -5ax + 2A + -5xA = 0 Reorder the terms: 2A + -5a + -5ax + -5xA = 0 Solving 2A + -5a + -5ax + -5xA = 0 Move all terms containing b to the left, all other terms to the right. Add '-2A' to each side of the equation. 2A + -5a + -5ax + -2A + -5xA = 0 + -2A Reorder the terms: 2A + -2A + -5a + -5ax + -5xA = 0 + -2A Combine like terms: 2A + -2A = 0 0 + -5a + -5ax + -5xA = 0 + -2A -5a + -5ax + -5xA = 0 + -2A Remove the zero: -5a + -5ax + -5xA = -2A Add '5a' to each side of the equation. -5a + -5ax + 5a + -5xA = -2A + 5a Reorder the terms: -5a + 5a + -5ax + -5xA = -2A + 5a Combine like terms: -5a + 5a = 0 0 + -5ax + -5xA = -2A + 5a -5ax + -5xA = -2A + 5a Add '5ax' to each side of the equation. -5ax + 5ax + -5xA = -2A + 5a + 5ax Combine like terms: -5ax + 5ax = 0 0 + -5xA = -2A + 5a + 5ax -5xA = -2A + 5a + 5ax Add '5xA' to each side of the equation. -5xA + 5xA = -2A + 5a + 5ax + 5xA Combine like terms: -5xA + 5xA = 0 0 = -2A + 5a + 5ax + 5xA Simplifying 0 = -2A + 5a + 5ax + 5xA The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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