3/(2x-1)+4=6x/(2x-1) X=?
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
3/(2x - 1) + 4 = 6x/(2x - 1)
Solve for x.
Solution:
In order to solve for x, we simply need to multiply 2x-1 to both sides of the equation. In this way we'll be able to cancel out 3/(2x - 1) and 6x/(2x - 1).
3/(2x - 1) + 4 = 6x/(2x - 1)
(2x - 1) (3/(2x - 1) + 4 ) = (2x - 1) 6x/(2x - 1)
3 + 4(2x - 1) = 6x
3 + 8x - 4 = 6x
-1 + 8x = 6x
Transpose 8x to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
-1 = 6x - 8x
-1 = -2x
Divide both sides by -2 in order to cancel out -2x, leaving behind x.
-1/-2 = -2x/-2
x = ½
Final answer:
x = ½