Solve for x: 3/4x + 1/4 =2x
Mathematics · High School · Mon Jan 18 2021
Answered on
Given:
3/4x + 1/4 = 2x
Solve for x.
Solution:
In order to find the value of x, we simply need to transpose ¾x on the other side of the equation hence we must take note that in transposing numbers, the sign changes.
3/4x + 1/4 = 2x
2x - ¾x = ¼
2x can be written as 8/x in order to compute easily.
8/4x - ¾x = ¼
5/4x = ¼
Now in order to determine the value of x, we multiply both sides by 4/5 which is the reciprocal of 5/4.
(4/5)(5/4x) = ¼ (5/4)
x = 5/20
x = 1/5
Final answer:
x = 1/5