Question

a. Solve this rational equation with steps

2x+12/x-2=x/x-2+5

Answer 1

\[\large 2x + \dfrac{12}{x-2} = \dfrac{x}{x-2} + 5\]

like this ?

Answer 2

yes
i have no idea how to solve this

Answer 3

just to be 100% sure, could you take a screenshot of the equation and attach if psble ?

Answer 4

thnks :)
since (x-2) is in the bottom, lets get rid of it by multiplying (x-2) through out the equation

Answer 5

\[\large 2x\color{gray}{(x-2)} + \dfrac{12}{x-2}\color{gray}{(x-2)} = \dfrac{x}{x-2}\color{gray}{(x-2)} + 5\color{gray}{(x-2)} \]

Answer 6

canceling you get :
\[\large 2x\color{gray}{(x-2)} + 12 =x + 5\color{gray}{(x-2)} \]

Answer 7

distribute and simplify as much as possible

Answer 8

Thank you love :) <3

Answer 9

np :) are you sure you can manage the rest ?

Answer 10

yes i can sweetie
:) thank you so much

Answer 11

sounds good, you will get a quadratic which you might be able to solve by factoring
and make sure to discard "2" if you get it in solutions because x=2 makes the given equation go crazy (why ?)