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We have
5t - 3 = 3t - 5
Transposing 3t to the LHS and -3 to the RHS, we get:
5t - 3t = -5 + 3
or 2t = -2
Dividing both sides by 2 :
t = -1
Check:- Put t = -1 in the LHS we have,
5t - 3 = 5(-1) - 3 = -5 -3 = -8
Similarly put t = -1 in the RHS:
3t - 5 = 3(-1) - 5 = -3 - 5 = -8
Hence, LHS = RHS