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Simplifying abs(4x + -5) = abs(3x + -5) Reorder the terms: abs(-5 + 4x) = abs(3x + -5) (-5 * abs + 4x * abs) = abs(3x + -5) (-5abs + 4absx) = abs(3x + -5) Reorder the terms: -5abs + 4absx = abs(-5 + 3x) -5abs + 4absx = (-5 * abs + 3x * abs) -5abs + 4absx = (-5abs + 3absx) Add '5abs' to each side of the equation. -5abs + 5abs + 4absx = -5abs + 5abs + 3absx Combine like terms: -5abs + 5abs = 0 0 + 4absx = -5abs + 5abs + 3absx 4absx = -5abs + 5abs + 3absx Combine like terms: -5abs + 5abs = 0 4absx = 0 + 3absx 4absx = 3absx Solving 4absx = 3absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3absx' to each side of the equation. 4absx + -3absx = 3absx + -3absx Combine like terms: 4absx + -3absx = 1absx 1absx = 3absx + -3absx Combine like terms: 3absx + -3absx = 0 1absx = 0 Divide each side by '1'. absx = 0 Simplifying absx = 0 The solution to this equation could not be determined.
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