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 :

                2*(3*h+9)-(3*(-2*h+10))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -2h + 10  =   -2 • (h - 5) 

Equation at the end of step  2  :

  (2 • (3h + 9)) -  -6 • (h - 5)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   3h + 9  =   3 • (h + 3) 

Equation at the end of step  4  :

  6 • (h + 3) -  -6 • (h - 5)  = 0 

Step  5  :

Pulling out like terms :

 5.1      Pull out     6 

Note that  -6 =(-1)• 6 
After pulling out, we are left with :
      6 • ( (-1)  *  (h+3) +( (-1)  *  (h-5) ))

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2 - 2h  =   -2 • (h - 1) 

Equation at the end of step  6  :

  -12 • (h - 1)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    -12   =  0

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

Solving a Single Variable Equation :

 7.2      Solve  :    h-1 = 0 

 Add  1  to both sides of the equation : 
                      h = 1

One solution was found :