What are the operations used to solve this equation5/6x-2=-2/3x+1
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
5/6x - 2 = -⅔x + 1
Solve for x.
Solution:
In order to solve for x, we simply need to transpose -⅔x and -2 to the other side of the equation, hence it must be taken to note that in transposing a number the sign changes.
5/6x - 2 = -⅔x + 1
5/6x + ⅔x = 1 + 2
5/6x + 4/6x = 3
9/6x = 3
multiply both sides of the equation by 6/9 in order to cancel out 9/6x leaving behind x.
(9/6x)(6/9) = (3)(6/9)
x = 18/9
x = 2
Final answer:
x = 2