1) \(x-31=-53-x\)
\(\Leftrightarrow x-31+x=-53\)
\(\Leftrightarrow2x-31=-53\)
\(\Leftrightarrow2x=-53+31\)
\(\Leftrightarrow2x=-22\)
\(\Leftrightarrow x=\left(-22\right):2\)
\(\Leftrightarrow x=-11\)
2) \(2x+39=-21-3x\)
\(\Leftrightarrow2x+39+3x=-21\)
\(\Leftrightarrow5x+39=-21\)
\(\Leftrightarrow5x=-21-39\)
\(\Leftrightarrow5x=-60\)
\(\Leftrightarrow x=\left(-60\right):5\)
\(\Leftrightarrow x=-12\)