Question

1/3+2/3m=2/3m-2/3 Does it have no solution or is it an identity?

Answer 1

$\dfrac{1}{3}+\dfrac{2}{3}m=\dfrac{2}{3}m-\dfrac{2}{3}\ \ \ \ \ |subtract\ \dfrac{2}{3}m\ from\ both\ sides\\\\\dfrac{1}{3}=-\dfrac{2}{3}\ \ \ \ FALSE\\\\Answer:\ No\ solution$