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Simplifying 360 + 3x + 3y + 2z = 501 Solving 360 + 3x + 3y + 2z = 501 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-360' to each side of the equation. 360 + 3x + 3y + -360 + 2z = 501 + -360 Reorder the terms: 360 + -360 + 3x + 3y + 2z = 501 + -360 Combine like terms: 360 + -360 = 0 0 + 3x + 3y + 2z = 501 + -360 3x + 3y + 2z = 501 + -360 Combine like terms: 501 + -360 = 141 3x + 3y + 2z = 141 Add '-3y' to each side of the equation. 3x + 3y + -3y + 2z = 141 + -3y Combine like terms: 3y + -3y = 0 3x + 0 + 2z = 141 + -3y 3x + 2z = 141 + -3y Add '-2z' to each side of the equation. 3x + 2z + -2z = 141 + -3y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 141 + -3y + -2z 3x = 141 + -3y + -2z Divide each side by '3'. x = 47 + -1y + -0.6666666667z Simplifying x = 47 + -1y + -0.6666666667z
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