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Other Ways to Solve:

Linear equations with one unknown

Step by Step Solution

Rearrange:

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

1/2*x+3-(1/2*x-9)=0

Step 1 :

            1
 Simplify   —
            2

Equation at the end of step 1 :

    1         1
  ((—•x)+3)-((—•x)-9)  = 0 
    2         2

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

         9     9 • 2
    9 =  —  =  —————
         1       2

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 - (9 • 2)     x - 18
 ———————————  =  ——————
      2            2

Equation at the end of step 2 :

    1               (x - 18)
  ((— • x) +  3) -  ————————  = 0 
    2                  2

Step 3 :

            1
 Simplify   —
            2

Equation at the end of step 3 :

    1               (x - 18)
  ((— • x) +  3) -  ————————  = 0 
    2                  2

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 2 as the denominator :

         3     3 • 2
    3 =  —  =  —————
         1       2

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

 x + 3 • 2     x + 6
 —————————  =  —————
     2           2

Equation at the end of step 4 :

  (x + 6)    (x - 18)
  ——————— -  ————————  = 0 
     2          2

Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which 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+6) - ((x-18))     12
 ————————————————  =  ——
        2             1

Equation at the end of step 5 :

  12  = 0

Step 6 :

Equations which are never true :

6.1 Solve : 12 = 0

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