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Simplifying abs(4x + -5) = abs(4x + 2) Reorder the terms: abs(-5 + 4x) = abs(4x + 2) (-5 * abs + 4x * abs) = abs(4x + 2) (-5abs + 4absx) = abs(4x + 2) Reorder the terms: -5abs + 4absx = abs(2 + 4x) -5abs + 4absx = (2 * abs + 4x * abs) -5abs + 4absx = (2abs + 4absx) Add '-4absx' to each side of the equation. -5abs + 4absx + -4absx = 2abs + 4absx + -4absx Combine like terms: 4absx + -4absx = 0 -5abs + 0 = 2abs + 4absx + -4absx -5abs = 2abs + 4absx + -4absx Combine like terms: 4absx + -4absx = 0 -5abs = 2abs + 0 -5abs = 2abs Solving -5abs = 2abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2abs' to each side of the equation. -5abs + -2abs = 2abs + -2abs Combine like terms: -5abs + -2abs = -7abs -7abs = 2abs + -2abs Combine like terms: 2abs + -2abs = 0 -7abs = 0 Divide each side by '-7'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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