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Simplifying 5[2c + 7] + -3c = 7[c + 5] Reorder the terms: 5[7 + 2c] + -3c = 7[c + 5] [7 * 5 + 2c * 5] + -3c = 7[c + 5] [35 + 10c] + -3c = 7[c + 5] Combine like terms: 10c + -3c = 7c 35 + 7c = 7[c + 5] Reorder the terms: 35 + 7c = 7[5 + c] 35 + 7c = [5 * 7 + c * 7] 35 + 7c = [35 + 7c] Add '-35' to each side of the equation. 35 + -35 + 7c = 35 + -35 + 7c Combine like terms: 35 + -35 = 0 0 + 7c = 35 + -35 + 7c 7c = 35 + -35 + 7c Combine like terms: 35 + -35 = 0 7c = 0 + 7c 7c = 7c Add '-7c' to each side of the equation. 7c + -7c = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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