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Question

Mathematics Question on Solving Equations having the Variable on both Sides

Solve and check result: 5t−3=3t−55t - 3 = 3t - 5

Answer

5t−3=3t−55t - 3 = 3t - 5
On transposing 3t3t to L.H.S and −3-3 to R.H.S, we obtain
5t−3t=−5−(−3)5t - 3t = -5 - (-3)
2t=−22t = -2
On dividing both sides by 22, we obtain
t=−1t = -1
⇒\Rightarrow L.H.S = 5t−35t - 3
= 5×(−1)−35 \times (-1) - 3 = −8-8
⇒\Rightarrow R.H.S = 3t−53t - 5
= 3×(−1)−53 \times (-1) - 5
= −3−5=−8- 3 - 5 = -8
L.H.S. = R.H.S.

Hence, the result obtained above is correct