Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Rearrange:

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

                     4*((15/10)+3*x)-(24)=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

        3            
  (4 • (— +  3x)) -  24  = 0 
        2            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

          3x     3x • 2
    3x =  ——  =  ——————
          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:

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

Equation at the end of step  2  :

       (6x + 3)     
  (4 • ————————) -  24  = 0 
          2         

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   6x + 3  =   3 • (2x + 1) 

Equation at the end of step  4  :

  6 • (2x + 1) -  24  = 0 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   12x - 18  =   6 • (2x - 3) 

Equation at the end of step  6  :

  6 • (2x - 3)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    6   =  0

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

Solving a Single Variable Equation :

 7.2      Solve  :    2x-3 = 0 

 Add  3  to both sides of the equation : 
                      2x = 3
Divide both sides of the equation by 2:
                     x = 3/2 = 1.500

One solution was found :