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Simplifying 2[x + -1(2x + 20) + 15] = 2(x + 5) Reorder the terms: 2[x + -1(20 + 2x) + 15] = 2(x + 5) 2[x + (20 * -1 + 2x * -1) + 15] = 2(x + 5) 2[x + (-20 + -2x) + 15] = 2(x + 5) Reorder the terms: 2[-20 + 15 + x + -2x] = 2(x + 5) Combine like terms: -20 + 15 = -5 2[-5 + x + -2x] = 2(x + 5) Combine like terms: x + -2x = -1x 2[-5 + -1x] = 2(x + 5) [-5 * 2 + -1x * 2] = 2(x + 5) [-10 + -2x] = 2(x + 5) Reorder the terms: -10 + -2x = 2(5 + x) -10 + -2x = (5 * 2 + x * 2) -10 + -2x = (10 + 2x) Solving -10 + -2x = 10 + 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. -10 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = 10 + 0 -10 + -4x = 10 Add '10' to each side of the equation. -10 + 10 + -4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 10 + 10 -4x = 10 + 10 Combine like terms: 10 + 10 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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