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*h-(7*(2/7-3/7*h)-10)=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            7

Equation at the end of step  1  :

          2  3
  3h-((7•(—-(—•h)))-10)  = 0 
          7  7

Step  2  :

            2
 Simplify   —
            7

Equation at the end of step  2  :

               2    3h      
  3h -  ((7 • (— -  ——)) -  10)  = 0 
               7    7       

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 2 - (3h)     2 - 3h
 ————————  =  ——————
    7           7   

Equation at the end of step  3  :

              (2 - 3h)     
  3h -  ((7 • ————————) -  10)  = 0 
                 7         

Step  4  :

Equation at the end of step  4  :

  3h -  ((2 - 3h) -  10)  = 0 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   6h + 8  =   2 • (3h + 4) 

Equation at the end of step  6  :

  2 • (3h + 4)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 7.2      Solve  :    3h+4 = 0 

 Subtract  4  from both sides of the equation : 
                      3h = -4
Divide both sides of the equation by 3:
                     h = -4/3 = -1.333

One solution was found :