1.\(x-43=\left(35-x\right)-48\)
\(\Rightarrow x-43=35-x-48\)
\(\Rightarrow2x=35+43-48\)
\(\Rightarrow2x=30\)
\(\Rightarrow x=15\)
2.\(305-x+14=48+\left(x-23\right)\)
\(\Rightarrow305-x+14=48+x-23\)
\(\Rightarrow305+14=48+x+x-23\)
\(\Rightarrow2x+25=319\)
\(\Rightarrow2x=294\)
\(\Rightarrow x=147\)
3.\(-\left(x-6+85\right)=\left(x+51\right)-54\)
\(\Rightarrow-x+6-85=x+51-54\)
\(\Rightarrow6-85=x+x+51-54\)
\(\Rightarrow2x-3=-79\)
\(\Rightarrow2x=-76\)
\(\Rightarrow x=-38\)
4.\(-\left(35-x\right)-\left(37-x\right)=33-x\)
\(\Rightarrow-35+x-37+x=33-x\)
\(\Rightarrow2x-72=33-x\)
\(\Rightarrow3x=105\)
\(\Rightarrow x=35\)
5.\(13-\left|x\right|=\left|-4\right|\)
\(\Rightarrow13-\left|x\right|=4\)
\(\Leftrightarrow\left[{}\begin{matrix}13-x=4\\13+x=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-9\end{matrix}\right.\)
