Add a number to the numerator and denominator of 9 / 19 so that the result is equal to 2 / 3. What is the number added together? Please don't use the solution equation. If you must use the solution equation, please write me the calculation process in detail,

Add a number to the numerator and denominator of 9 / 19 so that the result is equal to 2 / 3. What is the number added together? Please don't use the solution equation. If you must use the solution equation, please write me the calculation process in detail,

9+x 2
---- = ---
19+x 3
27+3x=38+2x
x=11