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Simplifying 3(2x + 5) + -3x = 2(x + 5) + -3(2x + -4) Reorder the terms: 3(5 + 2x) + -3x = 2(x + 5) + -3(2x + -4) (5 * 3 + 2x * 3) + -3x = 2(x + 5) + -3(2x + -4) (15 + 6x) + -3x = 2(x + 5) + -3(2x + -4) Combine like terms: 6x + -3x = 3x 15 + 3x = 2(x + 5) + -3(2x + -4) Reorder the terms: 15 + 3x = 2(5 + x) + -3(2x + -4) 15 + 3x = (5 * 2 + x * 2) + -3(2x + -4) 15 + 3x = (10 + 2x) + -3(2x + -4) Reorder the terms: 15 + 3x = 10 + 2x + -3(-4 + 2x) 15 + 3x = 10 + 2x + (-4 * -3 + 2x * -3) 15 + 3x = 10 + 2x + (12 + -6x) Reorder the terms: 15 + 3x = 10 + 12 + 2x + -6x Combine like terms: 10 + 12 = 22 15 + 3x = 22 + 2x + -6x Combine like terms: 2x + -6x = -4x 15 + 3x = 22 + -4x Solving 15 + 3x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 3x + 4x = 22 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = 22 + 0 15 + 7x = 22 Add '-15' to each side of the equation. 15 + -15 + 7x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 22 + -15 7x = 22 + -15 Combine like terms: 22 + -15 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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