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Simplifying 2[5x + 2(x + -3) + 1] + 5 = 3[2x + -1(x + 5)] + -12 Reorder the terms: 2[5x + 2(-3 + x) + 1] + 5 = 3[2x + -1(x + 5)] + -12 2[5x + (-3 * 2 + x * 2) + 1] + 5 = 3[2x + -1(x + 5)] + -12 2[5x + (-6 + 2x) + 1] + 5 = 3[2x + -1(x + 5)] + -12 Reorder the terms: 2[-6 + 1 + 5x + 2x] + 5 = 3[2x + -1(x + 5)] + -12 Combine like terms: -6 + 1 = -5 2[-5 + 5x + 2x] + 5 = 3[2x + -1(x + 5)] + -12 Combine like terms: 5x + 2x = 7x 2[-5 + 7x] + 5 = 3[2x + -1(x + 5)] + -12 [-5 * 2 + 7x * 2] + 5 = 3[2x + -1(x + 5)] + -12 [-10 + 14x] + 5 = 3[2x + -1(x + 5)] + -12 Reorder the terms: -10 + 5 + 14x = 3[2x + -1(x + 5)] + -12 Combine like terms: -10 + 5 = -5 -5 + 14x = 3[2x + -1(x + 5)] + -12 Reorder the terms: -5 + 14x = 3[2x + -1(5 + x)] + -12 -5 + 14x = 3[2x + (5 * -1 + x * -1)] + -12 -5 + 14x = 3[2x + (-5 + -1x)] + -12 Reorder the terms: -5 + 14x = 3[-5 + 2x + -1x] + -12 Combine like terms: 2x + -1x = 1x -5 + 14x = 3[-5 + 1x] + -12 -5 + 14x = [-5 * 3 + 1x * 3] + -12 -5 + 14x = [-15 + 3x] + -12 Reorder the terms: -5 + 14x = -15 + -12 + 3x Combine like terms: -15 + -12 = -27 -5 + 14x = -27 + 3x Solving -5 + 14x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 14x + -3x = -27 + 3x + -3x Combine like terms: 14x + -3x = 11x -5 + 11x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 11x = -27 + 0 -5 + 11x = -27 Add '5' to each side of the equation. -5 + 5 + 11x = -27 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = -27 + 5 11x = -27 + 5 Combine like terms: -27 + 5 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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