If you have like $-4(5x-10)=2(6x+4)$, then if you distribute and subtract and add on both sides and that stuff you end up with $32=32$. I know there's a mathematical term for that, I think it starts with an I. What is it?
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4An identity maybe? – Zanzag Nov 06 '21 at 16:46
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Here, we do not end with an identity. Is there a typo somewhere ? – Peter Nov 06 '21 at 16:58
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1If every real number is a solution, we could consider the equation to be a tautology. – Peter Nov 06 '21 at 16:59
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1Somehow, you lost $x$ in your manipulations. Your equation simplifies to $32 = 32x$, i.e., $x=1$. – PM 2Ring Nov 06 '21 at 17:08