Solve the equation

Question

(2x-3)/5x = 11/2

 

First I multiplied both sides by 5x to get:

 

2x-3 = 55x/2

 

Then I multiplied both sides by 2 to get:

2(2x-3) = 55x

 

Then I distributed to get:

 

4x + (-6) = 55x

 

Then I subtracted 4x from 55x to get:

 

-6 = 51x

 

Then I divide each side by 51 to get:

 

(-6/51) or (-2/17)

 

But the solution manual tells me the answer is (-17/2)

 

I do not understand how. Please explain this to me. 

 

 

Answer 1

You are correct. The manual is wrong; or did you write the equation incorrectly ?

-17/2 can't be right because that would give you a fraction on the left side of the equation after plugging in the value  and you have 11/2=5.5 on the right