4/5 x + 4/3 = 2x
subtract 4/3 from both sides
4/5 x + 4/3 - 4/3 = 2x - 4/3
simplifying
4/5 x = 2x - 4/3
subtract 2x from both sides
4/5 x -2x = 2x - 4/3 - 2x
combine like terms and simplifying
4/5 x - 10/5 x = - 4/3
- 6/5 x = - 4/3
multiply both sides by (-5/6)
- 6/5 x * (-5/6) = - 4/3 * (-5/6)
simplifying
x = 20/18
x = 10/9
x = 1 1/9 (1 and 1/9)