\(a.\)
\(3x+5=2x-7\)
\(\Rightarrow3x-2x=-5-7\)
\(\Rightarrow x=-12\)
\(b.\)
\(4-2x=5x+2\)
\(\Rightarrow-2x-5x=2-4\)
\(\Rightarrow-7x=-2\)
\(\Rightarrow x=\dfrac{2}{7}\)
\(c.\)
\(5+2x=3x+1\)
\(\Rightarrow2x-3x=1-5\)
\(\Rightarrow-x=-6\)
\(\Rightarrow x=6\)