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Simplifying (3x * 0.5) = ((2x + -7) * 0.2) Reorder the terms for easier multiplication: (3 * 0.5x) = ((2x + -7) * 0.2) Multiply 3 * 0.5 (1.5x) = ((2x + -7) * 0.2) Reorder the terms: (1.5x) = ((-7 + 2x) * 0.2) Reorder the terms for easier multiplication: (1.5x) = (0.2(-7 + 2x)) (1.5x) = ((-7 * 0.2 + 2x * 0.2)) (1.5x) = ((-1.4 + 0.4x)) (1.5x) = (-1.4 + 0.4x) Remove parenthesis around (-1.4 + 0.4x) (1.5x) = -1.4 + 0.4x Solving (1.5x) = -1.4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. (1.5x) + -0.4x = -1.4 + 0.4x + -0.4x Combine like terms: (1.5x) + -0.4x = 1.1x 1.1x = -1.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.1x = -1.4 + 0.0 1.1x = -1.4 Divide each side by '1.1'. x = -1.272727273 Simplifying x = -1.272727273
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