Solve for x the equation 2x+1/x+2=1?

amethsyt97 | Student

2x+1/x+2=1

2x+1=1(x+2)

2x+1=x+2

2x-x=2-1

x=1

giorgiana1976 | Student

First, you'll have to write the equation in a correct manner, putting the numerator and denominator within brackets:

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

Now, we'll subtract 1 both sides:

(2x+1)/(x+2) - 1 = 0

We'll multiply both sides by (x+2) =

2x + 1 - x - 2 = 0

We'll combine like terms:

x - 1 = 0

We'll add 1 both sides:

x = 1

Since the value of x doesn't cancel the denominator x + 2, it is accepted as solution of the given equation: x = 1.

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