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Simplifying 0.033333333(x + 9) = 0.5(x + -6) Reorder the terms: 0.033333333(9 + x) = 0.5(x + -6) (9 * 0.033333333 + x * 0.033333333) = 0.5(x + -6) (0.299999997 + 0.033333333x) = 0.5(x + -6) Reorder the terms: 0.299999997 + 0.033333333x = 0.5(-6 + x) 0.299999997 + 0.033333333x = (-6 * 0.5 + x * 0.5) 0.299999997 + 0.033333333x = (-3 + 0.5x) Solving 0.299999997 + 0.033333333x = -3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.299999997 + 0.033333333x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.033333333x + -0.5x = -0.466666667x 0.299999997 + -0.466666667x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.299999997 + -0.466666667x = -3 + 0.0 0.299999997 + -0.466666667x = -3 Add '-0.299999997' to each side of the equation. 0.299999997 + -0.299999997 + -0.466666667x = -3 + -0.299999997 Combine like terms: 0.299999997 + -0.299999997 = 0.000000000 0.000000000 + -0.466666667x = -3 + -0.299999997 -0.466666667x = -3 + -0.299999997 Combine like terms: -3 + -0.299999997 = -3.299999997 -0.466666667x = -3.299999997 Divide each side by '-0.466666667'. x = 7.07142856 Simplifying x = 7.07142856
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