Question

Solve for x:(1/x+1)+(2/x+2)=5/x+4

Answer 1

1/x+1+2/x+2=5/x+4
2+1-4=5/x-1/x-2/x
-1=5-1-2/x
2/x=-1
x=-1/2. Ans

Answer 2

Answer:

the value of x is $\frac{-1}{2}$

Step-by-step explanation:

We need to solve for x of the expression:

$(\frac{1}{x}+1)+(\frac{2}{x}+2)=\frac{5}{x}+4$

subtract both the sides by $\frac{5}{x}$ and 4

$\frac{1}{x}+1+\frac{2}{x}+2-\frac{5}{x}-4=0$

combine the like terms,

$\frac{1}{x}+\frac{2}{x}-\frac{5}{x}+2+1-4=0$

$\frac{1+2-5}{x}-1=0$

$\frac{-2}{x}-1=0$

add both the sides by 1 and multiply by -2,

$\frac{-2}{x}=1$

$x=\frac{-1}{2}$

Hence the value of x is $\frac{-1}{2}$