Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                3+(5/10)*(4*a+8)-(9-2*a)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

         1                 
  (3 +  (— • (4a + 8))) -  (9 - 2a)  = 0 
         2                 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4a + 8  =   4 • (a + 2) 

Equation at the end of step  3  :

  (3 +  2 • (a + 2)) -  (9 - 2a)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4a - 2  =   2 • (2a - 1) 

Equation at the end of step  5  :

  2 • (2a - 1)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 6.2      Solve  :    2a-1 = 0 

 Add  1  to both sides of the equation : 
                      2a = 1
Divide both sides of the equation by 2:
                     a = 1/2 = 0.500

One solution was found :