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Simplifying 2[3x + -2(y + -2)] = 0 Reorder the terms: 2[3x + -2(-2 + y)] = 0 2[3x + (-2 * -2 + y * -2)] = 0 2[3x + (4 + -2y)] = 0 Reorder the terms: 2[4 + 3x + -2y] = 0 [4 * 2 + 3x * 2 + -2y * 2] = 0 [8 + 6x + -4y] = 0 Solving 8 + 6x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6x + -8 + -4y = 0 + -8 Reorder the terms: 8 + -8 + 6x + -4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6x + -4y = 0 + -8 6x + -4y = 0 + -8 Combine like terms: 0 + -8 = -8 6x + -4y = -8 Add '4y' to each side of the equation. 6x + -4y + 4y = -8 + 4y Combine like terms: -4y + 4y = 0 6x + 0 = -8 + 4y 6x = -8 + 4y Divide each side by '6'. x = -1.333333333 + 0.6666666667y Simplifying x = -1.333333333 + 0.6666666667y
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