Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)".

Rearrange:

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

                     4*(1+(5/10)*m)-(7*m)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

              1           
  (4 • (1 +  (— • m))) -  7m  = 0 
              2           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

          1     1 • 2
     1 =  —  =  —————
          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:

 2 + m     m + 2
 —————  =  —————
   2         2  

Equation at the end of step  2  :

       (m + 2)     
  (4 • ———————) -  7m  = 0 
          2        

Step  3  :

Equation at the end of step  3  :

  2 • (m + 2) -  7m  = 0 

Step  4  :

Equation at the end of step  4  :

  4 - 5m  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    -5m+4 = 0 

 Subtract  4  from both sides of the equation : 
                      -5m = -4
Multiply both sides of the equation by (-1) :  5m = 4


Divide both sides of the equation by 5:
                     m = 4/5 = 0.800

One solution was found :