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Simplifying 2[x + 3(x + 1)] = 5x Reorder the terms: 2[x + 3(1 + x)] = 5x 2[x + (1 * 3 + x * 3)] = 5x 2[x + (3 + 3x)] = 5x Reorder the terms: 2[3 + x + 3x] = 5x Combine like terms: x + 3x = 4x 2[3 + 4x] = 5x [3 * 2 + 4x * 2] = 5x [6 + 8x] = 5x Solving 6 + 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 6 + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 6 + 3x = 0 Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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