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 :

                     3*(q+4/3)-(2)=0 

Step by step solution :

Step  1  :

            4
 Simplify   —
            3

Equation at the end of step  1  :

             4      
  (3 • (q +  —)) -  2  = 0 
             3      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

          q     q • 3
     q =  —  =  —————
          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:

 q • 3 + 4     3q + 4
 —————————  =  ——————
     3           3   

Equation at the end of step  2  :

       (3q + 4)     
  (3 • ————————) -  2  = 0 
          3         

Step  3  :

Equation at the end of step  3  :

  (3q + 4) -  2  = 0 

Step  4  :

Equation at the end of step  4  :

  3q + 2  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    3q+2 = 0 

 Subtract  2  from both sides of the equation : 
                      3q = -2
Divide both sides of the equation by 3:
                     q = -2/3 = -0.667

One solution was found :