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Simplifying abs(3x + 1) = abs(3x + -5) Reorder the terms: abs(1 + 3x) = abs(3x + -5) (1 * abs + 3x * abs) = abs(3x + -5) (1abs + 3absx) = abs(3x + -5) Reorder the terms: 1abs + 3absx = abs(-5 + 3x) 1abs + 3absx = (-5 * abs + 3x * abs) 1abs + 3absx = (-5abs + 3absx) Add '-3absx' to each side of the equation. 1abs + 3absx + -3absx = -5abs + 3absx + -3absx Combine like terms: 3absx + -3absx = 0 1abs + 0 = -5abs + 3absx + -3absx 1abs = -5abs + 3absx + -3absx Combine like terms: 3absx + -3absx = 0 1abs = -5abs + 0 1abs = -5abs Solving 1abs = -5abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5abs' to each side of the equation. 1abs + 5abs = -5abs + 5abs Combine like terms: 1abs + 5abs = 6abs 6abs = -5abs + 5abs Combine like terms: -5abs + 5abs = 0 6abs = 0 Divide each side by '6'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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