Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Rearrange:

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

                     (25/10)*(10*x-16)-(5)=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

   5                  
  (— • (10x - 16)) -  5  = 0 
   2                  

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   10x - 16  =   2 • (5x - 8) 

Equation at the end of step  3  :

  5 • (5x - 8) -  5  = 0 

Step  4  :

Pulling out like terms :

 4.1      Pull out     5 

After pulling out, we are left with :
      5 • ( 1  *  (5x-8) +( (-1) ))

Equation at the end of step  4  :

  5 • (5x - 9)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    5x-9 = 0 

 Add  9  to both sides of the equation : 
                      5x = 9
Divide both sides of the equation by 5:
                     x = 9/5 = 1.800

One solution was found :