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Multiple Choice
Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 5x+17=8x+12−3(x+4)
A
Identity
B
Conditional
C
Inconsistent
Verified step by step guidance
1
Start by simplifying the equation on both sides. Distribute the -3 on the right side: 5x + 17 = 8x + 12 - 3(x + 4).
Distribute -3 into (x + 4) to get: 5x + 17 = 8x + 12 - 3x - 12.
Combine like terms on the right side: 5x + 17 = (8x - 3x) + (12 - 12).
Simplify the right side: 5x + 17 = 5x + 0.
Subtract 5x from both sides to isolate the constant terms: 5x + 17 - 5x = 5x - 5x. This simplifies to 17 = 0, which is a contradiction, indicating the equation is inconsistent.