Solve. [(1/x+5)+2]=[5/x+5]?

Question

Solve. [(1/x+5)+2]=[5/x+5]
I am lost on how to do this. thanks

Answer 1

simplify the left side first

1/(x + 5) + 2 = {1 + 2(x+5)}/ (x +5) = (2x + 11)/(x + 5)

now

(2x + 11)/(x + 5) = 5 / (x + 5)

multiply both sides by (x + 5)

2 x + 11 = 5

2 x = -6
x = -3

Answer 2

Need to find the least common denom. So you multiply each term by x+5.

(1/x+5)•(x+5)+2•(x+5)=(5/x+5)•(x+5)
now you cancel out to make it:
1+2(x+5)=5
1+2x+10=5
combine like terms:
2x=-6
x=-3

Answer 3

ok first of all you get carry of to get each and every of the numbers that are a similar to one area. a million/x+5+2=5/x+5 5+2 - 5=5/x - a million/x then you definitely upload or subtract the numbers 2= 4/x after which you divide 2 into 4 and you gets x x=2 there you bypass.

Answer 4

1/(x+5)+2=(2(x+5)+1)/(x+5)=(2x+11)/(x+5)

(2x+11)/(x+5)=(5)/(x+5)

X can not be -5.....................X+5 cancel out:

2x+11=5........2x=-6.............x=-3