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Simplifying [-5(-1x + 3y) + -12] + -4(2x + -3) = 0 [(-1x * -5 + 3y * -5) + -12] + -4(2x + -3) = 0 [(5x + -15y) + -12] + -4(2x + -3) = 0 Reorder the terms: [-12 + 5x + -15y] + -4(2x + -3) = 0 Remove brackets around [-12 + 5x + -15y] -12 + 5x + -15y + -4(2x + -3) = 0 Reorder the terms: -12 + 5x + -15y + -4(-3 + 2x) = 0 -12 + 5x + -15y + (-3 * -4 + 2x * -4) = 0 -12 + 5x + -15y + (12 + -8x) = 0 Reorder the terms: -12 + 12 + 5x + -8x + -15y = 0 Combine like terms: -12 + 12 = 0 0 + 5x + -8x + -15y = 0 5x + -8x + -15y = 0 Combine like terms: 5x + -8x = -3x -3x + -15y = 0 Solving -3x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. -3x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 -3x + 0 = 0 + 15y -3x = 0 + 15y Remove the zero: -3x = 15y Divide each side by '-3'. x = -5y Simplifying x = -5y
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