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Simplifying 5[-3(4x + 5) + 3(5x + -4)] = 0 Reorder the terms: 5[-3(5 + 4x) + 3(5x + -4)] = 0 5[(5 * -3 + 4x * -3) + 3(5x + -4)] = 0 5[(-15 + -12x) + 3(5x + -4)] = 0 Reorder the terms: 5[-15 + -12x + 3(-4 + 5x)] = 0 5[-15 + -12x + (-4 * 3 + 5x * 3)] = 0 5[-15 + -12x + (-12 + 15x)] = 0 Reorder the terms: 5[-15 + -12 + -12x + 15x] = 0 Combine like terms: -15 + -12 = -27 5[-27 + -12x + 15x] = 0 Combine like terms: -12x + 15x = 3x 5[-27 + 3x] = 0 [-27 * 5 + 3x * 5] = 0 [-135 + 15x] = 0 Solving -135 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 15x = 0 + 135 Combine like terms: -135 + 135 = 0 0 + 15x = 0 + 135 15x = 0 + 135 Combine like terms: 0 + 135 = 135 15x = 135 Divide each side by '15'. x = 9 Simplifying x = 9
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