Question

3x[8²-2.(2⁵-1)]=2022

Answer 1

\(3x\left[8^2-2\left(2^5-1\right)\right]=2022\\ \Rightarrow3x\left[64-2\left(32-1\right)\right]=2022\\ \Rightarrow3x\left(64-2\cdot31\right)=2022\\ \Rightarrow3x\left(64-62\right)=2022\\ \Rightarrow3x\cdot2=2022\\ \Rightarrow3x=2022:2\\ \Rightarrow3x=1011\\ \Rightarrow x=\dfrac{1011}{3}=337\)

Answer 2

3x[8² - 2(2⁵ - 1)] = 2022

3x(64 - 2.31) = 2022

3x.1 = 2022

3x = 2022

x = 2022 : 3

x = 674