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Simplifying 5(3x + -8) + -2(4x + 12) = 2(2x + 1) Reorder the terms: 5(-8 + 3x) + -2(4x + 12) = 2(2x + 1) (-8 * 5 + 3x * 5) + -2(4x + 12) = 2(2x + 1) (-40 + 15x) + -2(4x + 12) = 2(2x + 1) Reorder the terms: -40 + 15x + -2(12 + 4x) = 2(2x + 1) -40 + 15x + (12 * -2 + 4x * -2) = 2(2x + 1) -40 + 15x + (-24 + -8x) = 2(2x + 1) Reorder the terms: -40 + -24 + 15x + -8x = 2(2x + 1) Combine like terms: -40 + -24 = -64 -64 + 15x + -8x = 2(2x + 1) Combine like terms: 15x + -8x = 7x -64 + 7x = 2(2x + 1) Reorder the terms: -64 + 7x = 2(1 + 2x) -64 + 7x = (1 * 2 + 2x * 2) -64 + 7x = (2 + 4x) Solving -64 + 7x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -64 + 7x + -4x = 2 + 4x + -4x Combine like terms: 7x + -4x = 3x -64 + 3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 3x = 2 + 0 -64 + 3x = 2 Add '64' to each side of the equation. -64 + 64 + 3x = 2 + 64 Combine like terms: -64 + 64 = 0 0 + 3x = 2 + 64 3x = 2 + 64 Combine like terms: 2 + 64 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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