<PRE><B>Question 707566</B>
-4x + 5 = 1 - 3x            //Add 3x to each side of the equation
-4x + 5 + 3x = 1 - 3x + 3x  //Simplify by combining like terms   
-x + 5 = 1                  //Subtract 5 from each side of the equation
-x + 5 - 5 = 1 - 5          //Simplify by combining like terms
-x = -4                     //Multiply each side by -1
x = 4                       //the Answer!

It never hurts to verify your solution by substituting your answer back into the original expression.  Substituting x=4 gives us:

-4*(4) + 5 = 1 - 3*(4)
   -16 + 5 = 1 - 12
       -11 = -11                  </PRE>