What is the value of x? Show your work?

ΔJKL ~ ΔMNP
Hence, JK / MN = JL / MP (corr. sides of similar Δs)
25/30 = 20/(4x - 4)
5/6 = 5/(x - 1)
1/6 = 1/(x - 1)
x - 1 = 6
x = 7

30/25 = (4x - 4) / 20

600 = 100 x - 100

700 = 100 x

x = 7

The two triangles are similar so their corresponding sides are in proportion.

(4x-4)/30 = 20/25
cross multiply
(4x-4)(25) = (30)(20)
100x-100 = 600
100x =700
x=7

X has no value. He's gone.