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Question:

Solve the following equation and check your results: 5t - 3 = 3t + 3

Solution:

Given: 5t - 3 = 3t + 3

→ 5t - 3t = 3 + 3
→ 2t = 6

On dividing both sides by 2, we get
t = 3

Checking results by substituting t value in LHS and RHS
→ L.H.S = 5t - 3 = 5 × (3) - 3 = 15 - 3 = 12
→ R.H.S = 3t + 3 = 3 × (3) + 3 = 9 + 3 = 12

∴ LHS = RHS
Hence proved.