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Simplifying 3[6x + -5(x + -3)] = 15 + -3(x + -5) Reorder the terms: 3[6x + -5(-3 + x)] = 15 + -3(x + -5) 3[6x + (-3 * -5 + x * -5)] = 15 + -3(x + -5) 3[6x + (15 + -5x)] = 15 + -3(x + -5) Reorder the terms: 3[15 + 6x + -5x] = 15 + -3(x + -5) Combine like terms: 6x + -5x = 1x 3[15 + 1x] = 15 + -3(x + -5) [15 * 3 + 1x * 3] = 15 + -3(x + -5) [45 + 3x] = 15 + -3(x + -5) Reorder the terms: 45 + 3x = 15 + -3(-5 + x) 45 + 3x = 15 + (-5 * -3 + x * -3) 45 + 3x = 15 + (15 + -3x) Combine like terms: 15 + 15 = 30 45 + 3x = 30 + -3x Solving 45 + 3x = 30 + -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. 45 + 3x + 3x = 30 + -3x + 3x Combine like terms: 3x + 3x = 6x 45 + 6x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 6x = 30 + 0 45 + 6x = 30 Add '-45' to each side of the equation. 45 + -45 + 6x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 30 + -45 6x = 30 + -45 Combine like terms: 30 + -45 = -15 6x = -15 Divide each side by '6'. x = -2.5 Simplifying x = -2.5
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