Solve this rational equation.
\({x-2\over 3}+{x+5\over 2}={1\over 3}\)
(x - 2) / 3 + (x + 5) / 2 = 1/3 multiply through by the common denominator of 2, 3 = 6
2 (x -2) + 3( x + 5) = 2 simplify
2x - 4 + 3x + 15 = 2 combine like terms
5x + 11 = 2 subtract 11 from both sides
5x = - 9 divide both sides by 5
x = -9 / 5