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Simplifying 2[x + 4] + -5 = 2[3x + -2] Reorder the terms: 2[4 + x] + -5 = 2[3x + -2] [4 * 2 + x * 2] + -5 = 2[3x + -2] [8 + 2x] + -5 = 2[3x + -2] Reorder the terms: 8 + -5 + 2x = 2[3x + -2] Combine like terms: 8 + -5 = 3 3 + 2x = 2[3x + -2] Reorder the terms: 3 + 2x = 2[-2 + 3x] 3 + 2x = [-2 * 2 + 3x * 2] 3 + 2x = [-4 + 6x] Solving 3 + 2x = -4 + 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. 3 + 2x + -6x = -4 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = -4 + 0 3 + -4x = -4 Add '-3' to each side of the equation. 3 + -3 + -4x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -4 + -3 -4x = -4 + -3 Combine like terms: -4 + -3 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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