I have the following problem to solve and I am not sure if I have the correct answer. Could you let me know if I do?
1/x+5+2=5/x+5
my answer: -3
your answer is incorretct ..it should be x=2
u just have to practice more often ..
Combine like terms first by adding or subtracting terms from both sides of the equation.
1/x+5+2=5/x+5
2 = 4/x
I mentioned this in response to a later post. Ihope hope this helps a little more. Thanks for asking.
To simplify the given equation, we can start by combining like terms:
1/(x+5) + 2 = 5/(x+5)
Now, we need to eliminate the denominators by finding the common denominator, which is (x+5). Multiply both sides of the equation by (x+5):
(x+5) * (1/(x+5)) + 2(x+5) = (x+5) * (5/(x+5))
Cancelling out the denominators, we get:
1 + 2(x+5) = 5
Now, distribute 2 on the left side and simplify:
1 + 2x + 10 = 5
Combine like terms:
2x + 11 = 5
Subtract 11 from both sides:
2x = -6
Divide both sides by 2:
x = -3
So the correct answer is x = -3, not x = 2.