From schematics we have:
\$i_1=\frac{v_1-v_2}{3},i_2=\frac{v_1-v_3}{2},i_3=\frac{v_3}{6},i_x=\frac{v_2}{4}\$
for node 1:
\$10 = i_1 + i_2\$
\$5v_1-2v_2-3v_3=60\$ EQ1
for node 2:
\$4i_x + i_1 - i_x = 0\$
\$4v_1+5v_2=0\$ EQ2
for node 3:
\$i_2 - i_3 - 4i_x = 0\$
\$6v_1 - 3v_2 -8v_3 = 0\$ EQ3
from three equations we get
\$v = (\frac{400}{23},\frac{-320}{23},\frac{420}{23})\$
but correct solution is
\$v = (80, -64, 156)\$
Where is problem? My guess is that controlling current \$i_x\$ and dependent source are connected to same node.