Answer:
n= 2
Step-by-step explanation:
1/5(n+3)= 1/4(n+2)
First thing to do here is distribute into the parenthesis.
1/5n+3(1/5)= 1/4n+ 2(1/4)
Now, multiply to simplify the equation.
1/5n+ 3/5= 1/4n+ 1/2
Then, subtract 1/2 to both sides.
1/5n+ 3/5= 1/4n+ 1/2
-1/2 -1/2
1/5n+ 1/10= 1/4n
Now, subtract 1/5 to both sides.
1/5n+ 1/10= 1/4n
-1/5n -1/5n
1/10= 1/20n
Finally, multiply both sides by the reciprocal of 1/20.
So, multiply by 20/1.
20/1 × 1/10= 20/1× 1/20n
This leaves you with n=2.