If 12 ÷ x = 3, how many times would x have to be subtracted from 12 in order for the answer to be zero? what is the value of x?

One solution was found :

                  x = 4

Rearrange:

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

                    12/x-(3)=0  

Step by step solution :

Step  1  :

           12

Simplify   ——

           x  

Equation at the end of step  1  :

 12    

 —— -  3  = 0  

 x      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

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

        3     3 • x

   3 =  —  =  —————

        1       x  

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:

12 - (3 • x)     12 - 3x

————————————  =  ———————

     x              x    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  12 - 3x  =   -3 • (x - 4)  

Equation at the end of step  3  :

 -3 • (x - 4)

 ————————————  = 0  

      x      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(x-4)

 ———————— • x = 0 • x

    x    

Now, on the left hand side, the  x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (x-4)  = 0

Equations which are never true :

4.2      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-4 = 0  

Add  4  to both sides of the equation :  

                     x = 4

One solution was found :

                  x = 4

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

answer: sine

step-by-step explanation: