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Simplifying 3[4x + -3(x + 5)] + 19 = 2(x + -23) Reorder the terms: 3[4x + -3(5 + x)] + 19 = 2(x + -23) 3[4x + (5 * -3 + x * -3)] + 19 = 2(x + -23) 3[4x + (-15 + -3x)] + 19 = 2(x + -23) Reorder the terms: 3[-15 + 4x + -3x] + 19 = 2(x + -23) Combine like terms: 4x + -3x = 1x 3[-15 + 1x] + 19 = 2(x + -23) [-15 * 3 + 1x * 3] + 19 = 2(x + -23) [-45 + 3x] + 19 = 2(x + -23) Reorder the terms: -45 + 19 + 3x = 2(x + -23) Combine like terms: -45 + 19 = -26 -26 + 3x = 2(x + -23) Reorder the terms: -26 + 3x = 2(-23 + x) -26 + 3x = (-23 * 2 + x * 2) -26 + 3x = (-46 + 2x) Solving -26 + 3x = -46 + 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. -26 + 3x + -2x = -46 + 2x + -2x Combine like terms: 3x + -2x = 1x -26 + 1x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 1x = -46 + 0 -26 + 1x = -46 Add '26' to each side of the equation. -26 + 26 + 1x = -46 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = -46 + 26 1x = -46 + 26 Combine like terms: -46 + 26 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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