Exponents, Ex-2C

Question

Can anyone please tell me the answer of this question with easy explanation of it?

Answer 1

Given: [2^3x−1+10]÷7 = 6

⇒2^3x−1 + 10 = 6×7

⇒ 2^3x−1+10 = 42

⇒2^3x−1 = 42−10

⇒2^3x−1 = 32

⇒2^3x−1 = (2)⁵

When bases are same across equal sign then powers must be also same.

⇒ 3x−1 = 5

⇒ 3x = 6

∴ x = 6/3 = 2

Answer 2

I got the answer from my teacher online.....