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Simplifying 8xX + 10 + 2X + 4xX + 8 + -6 = 2(7x + 18) Reorder the terms: 10 + 8 + -6 + 2X + 8xX + 4xX = 2(7x + 18) Combine like terms: 10 + 8 = 18 18 + -6 + 2X + 8xX + 4xX = 2(7x + 18) Combine like terms: 18 + -6 = 12 12 + 2X + 8xX + 4xX = 2(7x + 18) Combine like terms: 8xX + 4xX = 12xX 12 + 2X + 12xX = 2(7x + 18) Reorder the terms: 12 + 2X + 12xX = 2(18 + 7x) 12 + 2X + 12xX = (18 * 2 + 7x * 2) 12 + 2X + 12xX = (36 + 14x) Solving 12 + 2X + 12xX = 36 + 14x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2X + -12 + 12xX = 36 + -12 + 14x Reorder the terms: 12 + -12 + 2X + 12xX = 36 + -12 + 14x Combine like terms: 12 + -12 = 0 0 + 2X + 12xX = 36 + -12 + 14x 2X + 12xX = 36 + -12 + 14x Combine like terms: 36 + -12 = 24 2X + 12xX = 24 + 14x Reorder the terms: -24 + 2X + -14x + 12xX = 24 + 14x + -24 + -14x Reorder the terms: -24 + 2X + -14x + 12xX = 24 + -24 + 14x + -14x Combine like terms: 24 + -24 = 0 -24 + 2X + -14x + 12xX = 0 + 14x + -14x -24 + 2X + -14x + 12xX = 14x + -14x Combine like terms: 14x + -14x = 0 -24 + 2X + -14x + 12xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + X + -7x + 6xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + X + -7x + 6xX)' equal to zero and attempt to solve: Simplifying -12 + X + -7x + 6xX = 0 Solving -12 + X + -7x + 6xX = 0 Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + X + -7x + 12 + 6xX = 0 + 12 Reorder the terms: -12 + 12 + X + -7x + 6xX = 0 + 12 Combine like terms: -12 + 12 = 0 0 + X + -7x + 6xX = 0 + 12 X + -7x + 6xX = 0 + 12 Combine like terms: 0 + 12 = 12 X + -7x + 6xX = 12 Add '7x' to each side of the equation. X + -7x + 7x + 6xX = 12 + 7x Combine like terms: -7x + 7x = 0 X + 0 + 6xX = 12 + 7x X + 6xX = 12 + 7x 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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