x=15
Step-by-step explanation:
x=15
Step-by-step explanation:
Lets start solving the equation line by line,
2/5(5+x)=8
For solving such type of question one must know the BODMAS Rule.
Where,
B= Bracket Â
O=Orders
D=Division
M=Multiplication
A=Addition
S=Subtraction
and its very important to remember the priority of each operation, as you need to solve it as per their Priorities.
Bracket first, Orders second, Division and so on
So now lets start with the given equation,
2/5(5+x)=8
As per the BODMAS we have to first start with brackets,
2/5(5+x)=8
2/5*5+2/5*x=8 First Step
2+2/5*x=8
2/5*x=8-2
2/5*x=6
2x=30
so x=15.
This is a very common Traditional Method  to solve such problems but their are other ways too.
Lets see one by one how NIco, Erik, Raj sandra and Aditi is trying to solve this question by their methods.
Lets analyze the method used by Nico first,
Nico has smartly multiplied both the sides of the equation with 5/2 so that the problem becomes easy to solve in further steps,
2/5(5+x)=8
5/2*2/5(5+x)=8*5/2
5+x=20
so x=15.
smart answer in a few steps.
Now let's analyze the answer by  Aditi,
2/5(5+x)=8
5/2*(5)+5/2=(5/2)8
The second step of Aditi is incorrect as it doesn't make any sense.
Now lets analyze the answer by Erik,
2/5(5+x)=8
2/5(5+x)-5=8-5
this will also yields a correct answer but subtracting 5 from both side doesn't seems to be a optimum way to solve and it will add more steps before getting the answer.
Raj has again using a smart way to solve the equation,
2/5(5+x)=8
1/2*2/5(5+x)=8*1/2
This will also gives correct answer in a few steps.
Sandra is using a traditional way to solve the question and it will also give correct result.
So, we can say that except Aditi all will get the correct answer.
and if we compare then Nico and Raj will get the answer in few steps.
I hope this will help you.
