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Simplifying abs(5x + -4) = abs(3x + 6) Reorder the terms: abs(-4 + 5x) = abs(3x + 6) (-4 * abs + 5x * abs) = abs(3x + 6) (-4abs + 5absx) = abs(3x + 6) Reorder the terms: -4abs + 5absx = abs(6 + 3x) -4abs + 5absx = (6 * abs + 3x * abs) -4abs + 5absx = (6abs + 3absx) Solving -4abs + 5absx = 6abs + 3absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6abs' to each side of the equation. -4abs + -6abs + 5absx = 6abs + -6abs + 3absx Combine like terms: -4abs + -6abs = -10abs -10abs + 5absx = 6abs + -6abs + 3absx Combine like terms: 6abs + -6abs = 0 -10abs + 5absx = 0 + 3absx -10abs + 5absx = 3absx Add '-3absx' to each side of the equation. -10abs + 5absx + -3absx = 3absx + -3absx Combine like terms: 5absx + -3absx = 2absx -10abs + 2absx = 3absx + -3absx Combine like terms: 3absx + -3absx = 0 -10abs + 2absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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