Help!!! Whats x ive been struggling

Answer:
x = 2
Step-by-step explanation:
GIVEN :-
TO FIND :-
SOLUTION :-
To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-
[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]
[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]
[tex]=> 3(x + 6) = 12 \times x[/tex]
[tex]=> 3x + 18 = 12x[/tex]
[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]
[tex]=> 9x = 18[/tex]
[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]
[tex]=> x = 2[/tex]