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Simplifying 5[3x + -2(x + 4)] + -4x = 6(2x + -3) Reorder the terms: 5[3x + -2(4 + x)] + -4x = 6(2x + -3) 5[3x + (4 * -2 + x * -2)] + -4x = 6(2x + -3) 5[3x + (-8 + -2x)] + -4x = 6(2x + -3) Reorder the terms: 5[-8 + 3x + -2x] + -4x = 6(2x + -3) Combine like terms: 3x + -2x = 1x 5[-8 + 1x] + -4x = 6(2x + -3) [-8 * 5 + 1x * 5] + -4x = 6(2x + -3) [-40 + 5x] + -4x = 6(2x + -3) Combine like terms: 5x + -4x = 1x -40 + 1x = 6(2x + -3) Reorder the terms: -40 + 1x = 6(-3 + 2x) -40 + 1x = (-3 * 6 + 2x * 6) -40 + 1x = (-18 + 12x) Solving -40 + 1x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -40 + 1x + -12x = -18 + 12x + -12x Combine like terms: 1x + -12x = -11x -40 + -11x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -40 + -11x = -18 + 0 -40 + -11x = -18 Add '40' to each side of the equation. -40 + 40 + -11x = -18 + 40 Combine like terms: -40 + 40 = 0 0 + -11x = -18 + 40 -11x = -18 + 40 Combine like terms: -18 + 40 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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