Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.7" was replaced by "(17/10)".

Rearrange:

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

                     -10*(x-(17/10))-(-3)=0 

Step by step solution :

Step  1  :

            17
 Simplify   ——
            10

Equation at the end of step  1  :

                    17       
  (0 -  (10 • (x -  ——))) -  -3  = 0 
                    10       

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          x     x • 10
     x =  —  =  ——————
          1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 x • 10 - (17)     10x - 17
 —————————————  =  ————————
      10              10   

Equation at the end of step  2  :

              (10x - 17)      
  (0 -  (10 • ——————————)) -  -3  = 0 
                  10          

Step  3  :

Equation at the end of step  3  :

  (0 -  (10x - 17)) -  -3  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   20 - 10x  =   -10 • (x - 2) 

Equation at the end of step  5  :

  -10 • (x - 2)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -10   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-2 = 0 

 Add  2  to both sides of the equation : 
                      x = 2

One solution was found :