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Simplifying 4(x + 5) * 2 + -5 = (4x + 1) * 2 Reorder the terms: 4(5 + x) * 2 + -5 = (4x + 1) * 2 Reorder the terms for easier multiplication: 4 * 2(5 + x) + -5 = (4x + 1) * 2 Multiply 4 * 2 8(5 + x) + -5 = (4x + 1) * 2 (5 * 8 + x * 8) + -5 = (4x + 1) * 2 (40 + 8x) + -5 = (4x + 1) * 2 Reorder the terms: 40 + -5 + 8x = (4x + 1) * 2 Combine like terms: 40 + -5 = 35 35 + 8x = (4x + 1) * 2 Reorder the terms: 35 + 8x = (1 + 4x) * 2 Reorder the terms for easier multiplication: 35 + 8x = 2(1 + 4x) 35 + 8x = (1 * 2 + 4x * 2) 35 + 8x = (2 + 8x) Add '-8x' to each side of the equation. 35 + 8x + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 0 = 2 + 8x + -8x 35 = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 35 = 2 + 0 35 = 2 Solving 35 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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