If AJKL ~ AMKN, find the value of x.

Answer:
14
Step-by-step explanation:
The two triangles are similar
KN/KL = MN/JL
12/32 = (x+1)/(3x-2) multiply the fractions
36x-24 = 32x+32 export like terms to the same side
36x-32 = 32 + 24
4x = 56 divide both sides by 4
x = 14