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Simplifying 2[(3x + 5) + -7] = 3(5x + -2) Reorder the terms: 2[(5 + 3x) + -7] = 3(5x + -2) Remove parenthesis around (5 + 3x) 2[5 + 3x + -7] = 3(5x + -2) Reorder the terms: 2[5 + -7 + 3x] = 3(5x + -2) Combine like terms: 5 + -7 = -2 2[-2 + 3x] = 3(5x + -2) [-2 * 2 + 3x * 2] = 3(5x + -2) [-4 + 6x] = 3(5x + -2) Reorder the terms: -4 + 6x = 3(-2 + 5x) -4 + 6x = (-2 * 3 + 5x * 3) -4 + 6x = (-6 + 15x) Solving -4 + 6x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 6x + -15x = -6 + 15x + -15x Combine like terms: 6x + -15x = -9x -4 + -9x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -9x = -6 + 0 -4 + -9x = -6 Add '4' to each side of the equation. -4 + 4 + -9x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -6 + 4 -9x = -6 + 4 Combine like terms: -6 + 4 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222
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