If (2 3x-1 + 10) /7 = 6 then x = ______________?

Pl. solve it with method. here 3x-1 is power (exponent) of 2

(2^{3x - 1} + 10 ) / 7 = 6

2^{3x - 1} + 10 = 6 * 7

2^{3x -1} = 42 - 10 = 32

32 can be expressed as 2⁵

So 2^{3x - 1} = 2⁵

3x - 1 = 5

3x = 5 + 1

3x = 6

x = 6/3

x = 2

Ans:2