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Simplifying 5[3(5x + -4) + -2(7x + 6)] + 3x + -8 = 0 Reorder the terms: 5[3(-4 + 5x) + -2(7x + 6)] + 3x + -8 = 0 5[(-4 * 3 + 5x * 3) + -2(7x + 6)] + 3x + -8 = 0 5[(-12 + 15x) + -2(7x + 6)] + 3x + -8 = 0 Reorder the terms: 5[-12 + 15x + -2(6 + 7x)] + 3x + -8 = 0 5[-12 + 15x + (6 * -2 + 7x * -2)] + 3x + -8 = 0 5[-12 + 15x + (-12 + -14x)] + 3x + -8 = 0 Reorder the terms: 5[-12 + -12 + 15x + -14x] + 3x + -8 = 0 Combine like terms: -12 + -12 = -24 5[-24 + 15x + -14x] + 3x + -8 = 0 Combine like terms: 15x + -14x = 1x 5[-24 + 1x] + 3x + -8 = 0 [-24 * 5 + 1x * 5] + 3x + -8 = 0 [-120 + 5x] + 3x + -8 = 0 Reorder the terms: -120 + -8 + 5x + 3x = 0 Combine like terms: -120 + -8 = -128 -128 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -128 + 8x = 0 Solving -128 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '128' to each side of the equation. -128 + 128 + 8x = 0 + 128 Combine like terms: -128 + 128 = 0 0 + 8x = 0 + 128 8x = 0 + 128 Combine like terms: 0 + 128 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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