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Solution - Linear equations with one unknown

x=1
x=-1

Step by Step Solution

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 :

                     30-((25/10)*(10-2*x))=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

         5
  30 -  (— • (10 - 2x))  = 0 
         2

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   10 - 2x  =   -2 • (x - 5) 

Equation at the end of step  3  :

  30 -  -5 • (x - 5)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5x + 5  =   5 • (x + 1) 

Equation at the end of step  5  :

  5 • (x + 1)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x+1 = 0 

 
Subtract  1  from both sides of the equation : 
 
                     x = -1

One solution was found :

                   x = -1

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