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Simplifying 2[4x + 1] + 2 = 3[2x + 4] + 2 Reorder the terms: 2[1 + 4x] + 2 = 3[2x + 4] + 2 [1 * 2 + 4x * 2] + 2 = 3[2x + 4] + 2 [2 + 8x] + 2 = 3[2x + 4] + 2 Reorder the terms: 2 + 2 + 8x = 3[2x + 4] + 2 Combine like terms: 2 + 2 = 4 4 + 8x = 3[2x + 4] + 2 Reorder the terms: 4 + 8x = 3[4 + 2x] + 2 4 + 8x = [4 * 3 + 2x * 3] + 2 4 + 8x = [12 + 6x] + 2 Reorder the terms: 4 + 8x = 12 + 2 + 6x Combine like terms: 12 + 2 = 14 4 + 8x = 14 + 6x Solving 4 + 8x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 14 + 0 4 + 2x = 14 Add '-4' to each side of the equation. 4 + -4 + 2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 14 + -4 2x = 14 + -4 Combine like terms: 14 + -4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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