Question 681543
In solving such equations, you combine similar terms.

 -6 + 4x = x + 9 ( so, transpose x to the other side)
 
-6 + 4x - x = 9.        » NOTE: when transposng variables, their signs always changes

Then, transpose -6 to the other side, the equation then bcomes

 4x - x = 9 + 6.           

Perform the indicated operations

 4x - x = 9 + 6
     3x = 15 (divide both sides by 3 to give you x or in other words, rem0ve the coefficient of x)
      x = 5