\(3\left(x+6\right)-5^3=2\left(x-8\right)-1\)
\(\left(3\cdot x\right)\left(3\cdot6\right)+\left(125\right)=\left(2\cdot x\right)+\left(2\cdot8\right)+\left(1\right)\)
\(3x+18+-125=2x+\left(-16\right)+-1\)
\(3x+\left(18+-125\right)=2x+\left(-16+-1\right)\)
\(3x+-107=2x-17\)
\(x-107=-17\)
\(x=\left(-17\right)+107\)
\(x=90\)
\(3\left(x+6\right)-5^3=2\left(x-8\right)-1\)
\(\Leftrightarrow3x+18-125=2x-16-1\)
\(\Leftrightarrow3x+18-125-2x+16+1=0\)
\(\Leftrightarrow\left(3x-2x\right)+\left(18-125+16+1\right)=0\)
\(\Leftrightarrow x+\left(-90\right)=0\)
\(\Leftrightarrow x-90=0\)
\(\Leftrightarrow x=90\)