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Simplifying (6 * 5)(x + 2) + 12(4x + -8) = (5 * 8)(2x + -6) Multiply 6 * 5 (30)(x + 2) + 12(4x + -8) = (5 * 8)(2x + -6) Reorder the terms: 30(2 + x) + 12(4x + -8) = (5 * 8)(2x + -6) (2 * 30 + x * 30) + 12(4x + -8) = (5 * 8)(2x + -6) (60 + 30x) + 12(4x + -8) = (5 * 8)(2x + -6) Reorder the terms: 60 + 30x + 12(-8 + 4x) = (5 * 8)(2x + -6) 60 + 30x + (-8 * 12 + 4x * 12) = (5 * 8)(2x + -6) 60 + 30x + (-96 + 48x) = (5 * 8)(2x + -6) Reorder the terms: 60 + -96 + 30x + 48x = (5 * 8)(2x + -6) Combine like terms: 60 + -96 = -36 -36 + 30x + 48x = (5 * 8)(2x + -6) Combine like terms: 30x + 48x = 78x -36 + 78x = (5 * 8)(2x + -6) Multiply 5 * 8 -36 + 78x = (40)(2x + -6) Reorder the terms: -36 + 78x = 40(-6 + 2x) -36 + 78x = (-6 * 40 + 2x * 40) -36 + 78x = (-240 + 80x) Solving -36 + 78x = -240 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -36 + 78x + -80x = -240 + 80x + -80x Combine like terms: 78x + -80x = -2x -36 + -2x = -240 + 80x + -80x Combine like terms: 80x + -80x = 0 -36 + -2x = -240 + 0 -36 + -2x = -240 Add '36' to each side of the equation. -36 + 36 + -2x = -240 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -240 + 36 -2x = -240 + 36 Combine like terms: -240 + 36 = -204 -2x = -204 Divide each side by '-2'. x = 102 Simplifying x = 102
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