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Simplifying 0.5(y + 5) + 6x = 4x Reorder the terms: 0.5(5 + y) + 6x = 4x (5 * 0.5 + y * 0.5) + 6x = 4x (2.5 + 0.5y) + 6x = 4x Reorder the terms: 2.5 + 6x + 0.5y = 4x Solving 2.5 + 6x + 0.5y = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2.5 + 6x + -4x + 0.5y = 4x + -4x Combine like terms: 6x + -4x = 2x 2.5 + 2x + 0.5y = 4x + -4x Combine like terms: 4x + -4x = 0 2.5 + 2x + 0.5y = 0 Add '-2.5' to each side of the equation. 2.5 + 2x + -2.5 + 0.5y = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2x + 0.5y = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2x + 0.5y = 0 + -2.5 2x + 0.5y = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2x + 0.5y = -2.5 Add '-0.5y' to each side of the equation. 2x + 0.5y + -0.5y = -2.5 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 2x + 0.0 = -2.5 + -0.5y 2x = -2.5 + -0.5y Divide each side by '2'. x = -1.25 + -0.25y Simplifying x = -1.25 + -0.25y
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