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Simplifying abs(-8x + -7) = abs(4 + -2x) Reorder the terms: abs(-7 + -8x) = abs(4 + -2x) (-7 * abs + -8x * abs) = abs(4 + -2x) (-7abs + -8absx) = abs(4 + -2x) -7abs + -8absx = (4 * abs + -2x * abs) -7abs + -8absx = (4abs + -2absx) Solving -7abs + -8absx = 4abs + -2absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4abs' to each side of the equation. -7abs + -4abs + -8absx = 4abs + -4abs + -2absx Combine like terms: -7abs + -4abs = -11abs -11abs + -8absx = 4abs + -4abs + -2absx Combine like terms: 4abs + -4abs = 0 -11abs + -8absx = 0 + -2absx -11abs + -8absx = -2absx Add '2absx' to each side of the equation. -11abs + -8absx + 2absx = -2absx + 2absx Combine like terms: -8absx + 2absx = -6absx -11abs + -6absx = -2absx + 2absx Combine like terms: -2absx + 2absx = 0 -11abs + -6absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(11 + 6x) = 0 Ignore the factor -1.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 '(11 + 6x)' equal to zero and attempt to solve: Simplifying 11 + 6x = 0 Solving 11 + 6x = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 0 + -11 6x = 0 + -11 Combine like terms: 0 + -11 = -11 6x = -11 Add '-6x' to each side of the equation. 6x + -6x = -11 + -6x Combine like terms: 6x + -6x = 0 0 = -11 + -6x Simplifying 0 = -11 + -6x 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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