\(\frac{{3x - 2}}{5} + \frac{3}{2} = \frac{{4 - x}}{{10}}\)
\(\frac{{\left( {3x - 2} \right).2}}{{5.2}} + \frac{{3.5}}{{2.5}} = \frac{{4 - x}}{{10}}\)
\(\frac{{6x - 4}}{{10}} + \frac{{15}}{{10}} = \frac{{4 - x}}{{10}}\)
\(6x - 4 + 15 = 4 - x\)
\(6x + x = 4 + 4 - 15\)
\(7x = - 15\)
\(x = \left( { - 15} \right):7\)
\(x = \frac{{ - 15}}{7}\)
Vậy phương trình có nghiệm là \(x = \frac{{ - 15}}{7}\).