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Simplifying -5000 + 0.5x + 0.8y = -8000 + 2x + 1.2y Solving -5000 + 0.5x + 0.8y = -8000 + 2x + 1.2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5000 + 0.5x + -2x + 0.8y = -8000 + 2x + -2x + 1.2y Combine like terms: 0.5x + -2x = -1.5x -5000 + -1.5x + 0.8y = -8000 + 2x + -2x + 1.2y Combine like terms: 2x + -2x = 0 -5000 + -1.5x + 0.8y = -8000 + 0 + 1.2y -5000 + -1.5x + 0.8y = -8000 + 1.2y Add '5000' to each side of the equation. -5000 + -1.5x + 5000 + 0.8y = -8000 + 5000 + 1.2y Reorder the terms: -5000 + 5000 + -1.5x + 0.8y = -8000 + 5000 + 1.2y Combine like terms: -5000 + 5000 = 0 0 + -1.5x + 0.8y = -8000 + 5000 + 1.2y -1.5x + 0.8y = -8000 + 5000 + 1.2y Combine like terms: -8000 + 5000 = -3000 -1.5x + 0.8y = -3000 + 1.2y Add '-0.8y' to each side of the equation. -1.5x + 0.8y + -0.8y = -3000 + 1.2y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 -1.5x + 0.0 = -3000 + 1.2y + -0.8y -1.5x = -3000 + 1.2y + -0.8y Combine like terms: 1.2y + -0.8y = 0.4y -1.5x = -3000 + 0.4y Divide each side by '-1.5'. x = 2000 + -0.2666666667y Simplifying x = 2000 + -0.2666666667y
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