Explain equation-solving steps as logical consequences of equality and justify solution methods.
Verify a solution by substitution
Problem
Substitute \(x=6\) into \(2x+5=17\).
Big Picture
What this problem is really about
Verification means testing the proposed value in the original equation, not simply trusting the solving work that produced it. We’ll replace the variable while preserving the equation’s operation order, evaluate the entire left side, and compare it with the unchanged right side. Only an exact equality after substitution establishes that the candidate belongs to the solution set.
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