Solution - Linear equations with one unknown

Rearrange:

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

                12*g-(12*(2/3*g-1)+11)=0 

Step by step solution :

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

                  2                
  12g -  ((12 • ((— • g) -  1)) +  11)  = 0 
                  3                

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

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

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:

 2g - (3)     2g - 3
 ————————  =  ——————
    3           3   

Equation at the end of step  2  :

                (2g - 3)     
  12g -  ((12 • ————————) +  11)  = 0 
                   3         

Step  3  :

Equation at the end of step  3  :

  12g -  (4 • (2g - 3) +  11)  = 0 

Step  4  :

Equation at the end of step  4  :

  4g + 1  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    4g+1 = 0 

 Subtract  1  from both sides of the equation : 
                      4g = -1
Divide both sides of the equation by 4:
                     g = -1/4 = -0.250

One solution was found :