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Simplifying (x + 2)(x + 2 + 2x + -8) = (x + 1)(x + 1 + 2x + -5) Reorder the terms: (2 + x)(x + 2 + 2x + -8) = (x + 1)(x + 1 + 2x + -5) Reorder the terms: (2 + x)(2 + -8 + x + 2x) = (x + 1)(x + 1 + 2x + -5) Combine like terms: 2 + -8 = -6 (2 + x)(-6 + x + 2x) = (x + 1)(x + 1 + 2x + -5) Combine like terms: x + 2x = 3x (2 + x)(-6 + 3x) = (x + 1)(x + 1 + 2x + -5) Multiply (2 + x) * (-6 + 3x) (2(-6 + 3x) + x(-6 + 3x)) = (x + 1)(x + 1 + 2x + -5) ((-6 * 2 + 3x * 2) + x(-6 + 3x)) = (x + 1)(x + 1 + 2x + -5) ((-12 + 6x) + x(-6 + 3x)) = (x + 1)(x + 1 + 2x + -5) (-12 + 6x + (-6 * x + 3x * x)) = (x + 1)(x + 1 + 2x + -5) (-12 + 6x + (-6x + 3x2)) = (x + 1)(x + 1 + 2x + -5) Combine like terms: 6x + -6x = 0 (-12 + 0 + 3x2) = (x + 1)(x + 1 + 2x + -5) (-12 + 3x2) = (x + 1)(x + 1 + 2x + -5) Reorder the terms: -12 + 3x2 = (1 + x)(x + 1 + 2x + -5) Reorder the terms: -12 + 3x2 = (1 + x)(1 + -5 + x + 2x) Combine like terms: 1 + -5 = -4 -12 + 3x2 = (1 + x)(-4 + x + 2x) Combine like terms: x + 2x = 3x -12 + 3x2 = (1 + x)(-4 + 3x) Multiply (1 + x) * (-4 + 3x) -12 + 3x2 = (1(-4 + 3x) + x(-4 + 3x)) -12 + 3x2 = ((-4 * 1 + 3x * 1) + x(-4 + 3x)) -12 + 3x2 = ((-4 + 3x) + x(-4 + 3x)) -12 + 3x2 = (-4 + 3x + (-4 * x + 3x * x)) -12 + 3x2 = (-4 + 3x + (-4x + 3x2)) Combine like terms: 3x + -4x = -1x -12 + 3x2 = (-4 + -1x + 3x2) Add '-3x2' to each side of the equation. -12 + 3x2 + -3x2 = -4 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 0 = -4 + -1x + 3x2 + -3x2 -12 = -4 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 = -4 + -1x + 0 -12 = -4 + -1x Solving -12 = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + x = -4 + -1x + x Combine like terms: -1x + x = 0 -12 + x = -4 + 0 -12 + x = -4 Add '12' to each side of the equation. -12 + 12 + x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + x = -4 + 12 x = -4 + 12 Combine like terms: -4 + 12 = 8 x = 8 Simplifying x = 8
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