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Simplifying 2.5(2x + 5) = 5(z + 2.5) Reorder the terms: 2.5(5 + 2x) = 5(z + 2.5) (5 * 2.5 + 2x * 2.5) = 5(z + 2.5) (12.5 + 5x) = 5(z + 2.5) Reorder the terms: 12.5 + 5x = 5(2.5 + z) 12.5 + 5x = (2.5 * 5 + z * 5) 12.5 + 5x = (12.5 + 5z) Add '-12.5' to each side of the equation. 12.5 + -12.5 + 5x = 12.5 + -12.5 + 5z Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 5x = 12.5 + -12.5 + 5z 5x = 12.5 + -12.5 + 5z Combine like terms: 12.5 + -12.5 = 0.0 5x = 0.0 + 5z 5x = 5z Solving 5x = 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '5'. x = z Simplifying x = z
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