\(a,x^3.x^2=2^8:2^3\\ \Rightarrow x^5=2^5\\ \Rightarrow x=2\)
\(b,3^{x-3}-3^2=2.3^2\\ \Rightarrow3^{x-3}-9=2.9\\ \Rightarrow3^{x-3}=18+9\\ \Rightarrow3^{x-3}=27\\\Rightarrow 3^{x-3}=3^3\\ \Rightarrow x-3=3\\ \Rightarrow x=6\)
\(c,3-\left(17-x\right)=289-\left(36+289\right)\\ \Rightarrow c,3-17+x=289-36-289\\ \Rightarrow x-14=-36\\ \Rightarrow x=-22\)
\(d,25+\left(x-5\right)=-415-\left(-2x+15-415\right)\\ \Rightarrow25+x-5=-415-\left(-2x-400\right)\\ \Rightarrow20+x=-415+2x+400\\ \Rightarrow20+x=2x-15\\ \Rightarrow2x-15-x-20=0\\ \Rightarrow x-35=0\\ \Rightarrow x=35\)
\(e,x-\left[62-\left(-46\right)+3x\right]=-14\\ \Rightarrow e,x-\left(108+3x\right)=-14\\ \Rightarrow x-108-3x=-14\\ \Rightarrow-2x=94\\ \Rightarrow x=-47\)
\(f,-7\left(5-x\right)-2\left(x-10\right)=15\\ \Rightarrow-35+7x-2x+20=15\\ \Rightarrow5x-15=15\\ \Rightarrow5x=30\\ \Rightarrow x=6\)