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Simplifying 5(x + 1) * 2 + 7(x + 3) * 2 = 12(x + 2) * 2 Reorder the terms: 5(1 + x) * 2 + 7(x + 3) * 2 = 12(x + 2) * 2 Reorder the terms for easier multiplication: 5 * 2(1 + x) + 7(x + 3) * 2 = 12(x + 2) * 2 Multiply 5 * 2 10(1 + x) + 7(x + 3) * 2 = 12(x + 2) * 2 (1 * 10 + x * 10) + 7(x + 3) * 2 = 12(x + 2) * 2 (10 + 10x) + 7(x + 3) * 2 = 12(x + 2) * 2 Reorder the terms: 10 + 10x + 7(3 + x) * 2 = 12(x + 2) * 2 Reorder the terms for easier multiplication: 10 + 10x + 7 * 2(3 + x) = 12(x + 2) * 2 Multiply 7 * 2 10 + 10x + 14(3 + x) = 12(x + 2) * 2 10 + 10x + (3 * 14 + x * 14) = 12(x + 2) * 2 10 + 10x + (42 + 14x) = 12(x + 2) * 2 Reorder the terms: 10 + 42 + 10x + 14x = 12(x + 2) * 2 Combine like terms: 10 + 42 = 52 52 + 10x + 14x = 12(x + 2) * 2 Combine like terms: 10x + 14x = 24x 52 + 24x = 12(x + 2) * 2 Reorder the terms: 52 + 24x = 12(2 + x) * 2 Reorder the terms for easier multiplication: 52 + 24x = 12 * 2(2 + x) Multiply 12 * 2 52 + 24x = 24(2 + x) 52 + 24x = (2 * 24 + x * 24) 52 + 24x = (48 + 24x) Add '-24x' to each side of the equation. 52 + 24x + -24x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 52 + 0 = 48 + 24x + -24x 52 = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 52 = 48 + 0 52 = 48 Solving 52 = 48 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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