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Simplifying 2[5x + -3(-1 + x)] = 2(x + -2) 2[5x + (-1 * -3 + x * -3)] = 2(x + -2) 2[5x + (3 + -3x)] = 2(x + -2) Reorder the terms: 2[3 + 5x + -3x] = 2(x + -2) Combine like terms: 5x + -3x = 2x 2[3 + 2x] = 2(x + -2) [3 * 2 + 2x * 2] = 2(x + -2) [6 + 4x] = 2(x + -2) Reorder the terms: 6 + 4x = 2(-2 + x) 6 + 4x = (-2 * 2 + x * 2) 6 + 4x = (-4 + 2x) Solving 6 + 4x = -4 + 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. 6 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = -4 + 0 6 + 2x = -4 Add '-6' to each side of the equation. 6 + -6 + 2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -4 + -6 2x = -4 + -6 Combine like terms: -4 + -6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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