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Simplifying abs(3x + -3) = abs(5x + 5) Reorder the terms: abs(-3 + 3x) = abs(5x + 5) (-3 * abs + 3x * abs) = abs(5x + 5) (-3abs + 3absx) = abs(5x + 5) Reorder the terms: -3abs + 3absx = abs(5 + 5x) -3abs + 3absx = (5 * abs + 5x * abs) -3abs + 3absx = (5abs + 5absx) Solving -3abs + 3absx = 5abs + 5absx 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. -3abs + -5abs + 3absx = 5abs + -5abs + 5absx Combine like terms: -3abs + -5abs = -8abs -8abs + 3absx = 5abs + -5abs + 5absx Combine like terms: 5abs + -5abs = 0 -8abs + 3absx = 0 + 5absx -8abs + 3absx = 5absx Add '-5absx' to each side of the equation. -8abs + 3absx + -5absx = 5absx + -5absx Combine like terms: 3absx + -5absx = -2absx -8abs + -2absx = 5absx + -5absx Combine like terms: 5absx + -5absx = 0 -8abs + -2absx = 0 Factor out the Greatest Common Factor (GCF), '-2abs'. -2abs(4 + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -1x 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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