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Simplifying 5y + 6x = 27 + 32x + 10y Reorder the terms: 6x + 5y = 27 + 32x + 10y Solving 6x + 5y = 27 + 32x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 6x + -32x + 5y = 27 + 32x + -32x + 10y Combine like terms: 6x + -32x = -26x -26x + 5y = 27 + 32x + -32x + 10y Combine like terms: 32x + -32x = 0 -26x + 5y = 27 + 0 + 10y -26x + 5y = 27 + 10y Add '-5y' to each side of the equation. -26x + 5y + -5y = 27 + 10y + -5y Combine like terms: 5y + -5y = 0 -26x + 0 = 27 + 10y + -5y -26x = 27 + 10y + -5y Combine like terms: 10y + -5y = 5y -26x = 27 + 5y Divide each side by '-26'. x = -1.038461538 + -0.1923076923y Simplifying x = -1.038461538 + -0.1923076923y
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