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Simplifying (x + -2)(x + 3) = (x + 5)(x + -3) Reorder the terms: (-2 + x)(x + 3) = (x + 5)(x + -3) Reorder the terms: (-2 + x)(3 + x) = (x + 5)(x + -3) Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x)) = (x + 5)(x + -3) ((3 * -2 + x * -2) + x(3 + x)) = (x + 5)(x + -3) ((-6 + -2x) + x(3 + x)) = (x + 5)(x + -3) (-6 + -2x + (3 * x + x * x)) = (x + 5)(x + -3) (-6 + -2x + (3x + x2)) = (x + 5)(x + -3) Combine like terms: -2x + 3x = 1x (-6 + 1x + x2) = (x + 5)(x + -3) Reorder the terms: -6 + 1x + x2 = (5 + x)(x + -3) Reorder the terms: -6 + 1x + x2 = (5 + x)(-3 + x) Multiply (5 + x) * (-3 + x) -6 + 1x + x2 = (5(-3 + x) + x(-3 + x)) -6 + 1x + x2 = ((-3 * 5 + x * 5) + x(-3 + x)) -6 + 1x + x2 = ((-15 + 5x) + x(-3 + x)) -6 + 1x + x2 = (-15 + 5x + (-3 * x + x * x)) -6 + 1x + x2 = (-15 + 5x + (-3x + x2)) Combine like terms: 5x + -3x = 2x -6 + 1x + x2 = (-15 + 2x + x2) Add '-1x2' to each side of the equation. -6 + 1x + x2 + -1x2 = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x + 0 = -15 + 2x + x2 + -1x2 -6 + 1x = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x = -15 + 2x + 0 -6 + 1x = -15 + 2x Solving -6 + 1x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 1x + -2x = -15 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = -15 + 0 -6 + -1x = -15 Add '6' to each side of the equation. -6 + 6 + -1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -15 + 6 -1x = -15 + 6 Combine like terms: -15 + 6 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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