Find the value of x

Question

Triangle MNP ~ Triangle XYZ

PM=x+5
PM=4x-10

ZX=30
ZY=75

Answer 1

Assuming a typo, and you meant PN, we have

PM/ZX = PN/ZY
so,

(x+5)/30 = (4x-10)/75
Now just solve for x.

Answer 2

x+5/30=4x-10/75

2*3*5*5*(x+5)/2*3*5=2*3*5*5(4x-10)/3*5*5

5*(x+5)=2*(4x-10)
5x+25=8x-20
25+20=3x
3x=45
x=15

Answer 3

right

Answer 4

Thank you Steve