we know
Perimeter of rectangle = 2L + 2W.
Where L is length =5(x+6) cm
B is breadth =(2x+6)cm
P is perimeter=192 cm
substitute value of length and breadth in the formula of perimeter
we will get
2*5(x+6)+2*(2x+6)=192
10x+60+4x+12=192
14x+72=192
14x=120
x=120/14
x=8.5714
So value of x will be 8.5714
Answer=8.5712