SOLUTION: Problem is solving for X. (rational equation) There should be a line under each one (between x+4 and x+5 and then another between x-2 and x+4) with ONE equal sign. x+4 = x-2

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Question 335132: Problem is solving for X. (rational equation)
There should be a line under each one (between x+4 and x+5 and then another between x-2 and x+4) with ONE equal sign.
x+4 = x-2
x+5 = x+4
Thanks in advance!

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
I presume you mean the following:



If you cross multiply, you get:



If you multiply these out, you will get:



If you subtract the expression on the right side of the equation from both sides of the equation, then you will get:



When you combine like terms, you will get:



If you subtract 26 from both sides of this equation, you will get:



If you divide both sides of this equation by 5, you will get:

x = -26/5

That should be your answer.

Substitute for x in your original equation to see if it comes out true.

You start with .

Since -26/5 = -5.2, then you replace x with -5.2 to get:

.

This becomes:

which becomes:

which is true, confirming that your answer of x = -26/5 = -5.2 is correct.





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