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Simplifying 2[(8x + 2) + 6] = 5(7x + 4) Reorder the terms: 2[(2 + 8x) + 6] = 5(7x + 4) Remove parenthesis around (2 + 8x) 2[2 + 8x + 6] = 5(7x + 4) Reorder the terms: 2[2 + 6 + 8x] = 5(7x + 4) Combine like terms: 2 + 6 = 8 2[8 + 8x] = 5(7x + 4) [8 * 2 + 8x * 2] = 5(7x + 4) [16 + 16x] = 5(7x + 4) Reorder the terms: 16 + 16x = 5(4 + 7x) 16 + 16x = (4 * 5 + 7x * 5) 16 + 16x = (20 + 35x) Solving 16 + 16x = 20 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 16 + 16x + -35x = 20 + 35x + -35x Combine like terms: 16x + -35x = -19x 16 + -19x = 20 + 35x + -35x Combine like terms: 35x + -35x = 0 16 + -19x = 20 + 0 16 + -19x = 20 Add '-16' to each side of the equation. 16 + -16 + -19x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -19x = 20 + -16 -19x = 20 + -16 Combine like terms: 20 + -16 = 4 -19x = 4 Divide each side by '-19'. x = -0.2105263158 Simplifying x = -0.2105263158
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