Find the value of X - triangle measurments

Answer:
x=12
Step-by-step explanation:
Since the base angles are the same, SV and TV must be the same length
2x+6 = 3x-6
Subtract 2x from each side
2x+6-2x = 3x-6-2x
6 = x-6
Add 6 to each side
6+6 = x-6+6
12=x
[tex]\\ \sf\longmapsto 2x+6=3x-6[/tex]
[tex]\\ \sf\longmapsto 3x-2x=6+6[/tex]
[tex]\\ \sf\longmapsto (3-2)x=12[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]