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Simplifying 0.33333(3x + -1) = 0.5(x + 2) Reorder the terms: 0.33333(-1 + 3x) = 0.5(x + 2) (-1 * 0.33333 + 3x * 0.33333) = 0.5(x + 2) (-0.33333 + 0.99999x) = 0.5(x + 2) Reorder the terms: -0.33333 + 0.99999x = 0.5(2 + x) -0.33333 + 0.99999x = (2 * 0.5 + x * 0.5) -0.33333 + 0.99999x = (1 + 0.5x) Solving -0.33333 + 0.99999x = 1 + 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. -0.33333 + 0.99999x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.99999x + -0.5x = 0.49999x -0.33333 + 0.49999x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.33333 + 0.49999x = 1 + 0.0 -0.33333 + 0.49999x = 1 Add '0.33333' to each side of the equation. -0.33333 + 0.33333 + 0.49999x = 1 + 0.33333 Combine like terms: -0.33333 + 0.33333 = 0.00000 0.00000 + 0.49999x = 1 + 0.33333 0.49999x = 1 + 0.33333 Combine like terms: 1 + 0.33333 = 1.33333 0.49999x = 1.33333 Divide each side by '0.49999'. x = 2.666713334 Simplifying x = 2.666713334
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