Help ASAP! Find x: 4−x/5 + x+2/3 =6 Thank you!
Mathematics · High School · Thu Feb 04 2021
Answered on
GIven:
4 - x/5 + x + ⅔ = 6
Solve for x.
Solution:
In order to solve for x, we equate first 4 and x as fractions to easily simplify with the other fractions
4 can be written as 12 / 3, while x can be written as 5/5x.
12 / 3 + ⅔ - x/5 + 5/5x = 6
14/3 - 4/5x =6
Transpose -4/5x and 6 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
14/3 - 6 = 4/5x
6 can be written as 18/3.
14/3 - 18/3 = 4/5x
-4/3 = 4/5x
multiply both sides by 5/4 in order to cancel out 4/5x, leaving behind x.
(5/4) (-4/3) = (5/4)(4/5x)
-5/3 = x
Final answer:
x = 5/3