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Simplifying 5x + -12[x + -2(20 + -1x)] * 4 * 16 + [8x + -2x * 5] = 4250 5x + -12[x + (20 * -2 + -1x * -2)] * 4 * 16 + [8x + -2x * 5] = 4250 5x + -12[x + (-40 + 2x)] * 4 * 16 + [8x + -2x * 5] = 4250 Reorder the terms: 5x + -12[-40 + x + 2x] * 4 * 16 + [8x + -2x * 5] = 4250 Combine like terms: x + 2x = 3x 5x + -12[-40 + 3x] * 4 * 16 + [8x + -2x * 5] = 4250 Reorder the terms for easier multiplication: 5x + -12 * 4 * 16[-40 + 3x] + [8x + -2x * 5] = 4250 Multiply -12 * 4 5x + -48 * 16[-40 + 3x] + [8x + -2x * 5] = 4250 Multiply -48 * 16 5x + -768[-40 + 3x] + [8x + -2x * 5] = 4250 5x + [-40 * -768 + 3x * -768] + [8x + -2x * 5] = 4250 5x + [30720 + -2304x] + [8x + -2x * 5] = 4250 Reorder the terms for easier multiplication: 5x + 30720 + -2304x + [8x + -2 * 5x] = 4250 Multiply -2 * 5 5x + 30720 + -2304x + [8x + -10x] = 4250 Combine like terms: 8x + -10x = -2x 5x + 30720 + -2304x + [-2x] = 4250 5x + 30720 + -2304x + [-2x] = 4250 Reorder the terms: 30720 + 5x + -2304x + [-2x] = 4250 Combine like terms: 5x + -2304x = -2299x 30720 + -2299x + [-2x] = 4250 Combine like terms: -2299x + [-2x] = -2301x 30720 + -2301x = 4250 Solving 30720 + -2301x = 4250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30720' to each side of the equation. 30720 + -30720 + -2301x = 4250 + -30720 Combine like terms: 30720 + -30720 = 0 0 + -2301x = 4250 + -30720 -2301x = 4250 + -30720 Combine like terms: 4250 + -30720 = -26470 -2301x = -26470 Divide each side by '-2301'. x = 11.50369405 Simplifying x = 11.50369405
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