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Simplifying 2[5(x + y) + -3(3x + -2y)] = 0 2[(x * 5 + y * 5) + -3(3x + -2y)] = 0 2[(5x + 5y) + -3(3x + -2y)] = 0 2[5x + 5y + (3x * -3 + -2y * -3)] = 0 2[5x + 5y + (-9x + 6y)] = 0 Reorder the terms: 2[5x + -9x + 5y + 6y] = 0 Combine like terms: 5x + -9x = -4x 2[-4x + 5y + 6y] = 0 Combine like terms: 5y + 6y = 11y 2[-4x + 11y] = 0 [-4x * 2 + 11y * 2] = 0 [-8x + 22y] = 0 Solving -8x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. -8x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 -8x + 0 = 0 + -22y -8x = 0 + -22y Remove the zero: -8x = -22y Divide each side by '-8'. x = 2.75y Simplifying x = 2.75y
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