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