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Simplifying 0.01 * 100 + 0.05(x) = 0.03(100 + x) Multiply 0.01 * 100 1 + 0.05(x) = 0.03(100 + x) 1 + 0.05x = (100 * 0.03 + x * 0.03) 1 + 0.05x = (3 + 0.03x) Solving 1 + 0.05x = 3 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 1 + 0.05x + -0.03x = 3 + 0.03x + -0.03x Combine like terms: 0.05x + -0.03x = 0.02x 1 + 0.02x = 3 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 1 + 0.02x = 3 + 0.00 1 + 0.02x = 3 Add '-1' to each side of the equation. 1 + -1 + 0.02x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.02x = 3 + -1 0.02x = 3 + -1 Combine like terms: 3 + -1 = 2 0.02x = 2 Divide each side by '0.02'. x = 100 Simplifying x = 100
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