x + x/2 - 4 = x/4

Question

How do I solve this?

Answer 1

 Just like any other equations with one variable:

 

      X + X/2 -4 = X/4

 

 

    Move variables to one side, and constants to other.

 

      X + X/2 - X/4 = 4

 

        Multiply both sides by 4

 

      4X + 2X - x = 16

 

        5X = 16

 

       X = 16/ 5 = 3 1/5 = 3.2

Answer 2

x + x/2 - 4 = x/4

get rid of fractions by finding a common denominator which is 4

multiply each term by 4

 

(4)x + (4)x/2 - (4)4=(4)x/4

 

4x + 2x - 16 = x

 

combine like terms

 

6x-16=x

add 16 to both sides 

 

6x-16+16=x+16

 

6x=x+16

subtract x from both sides

 

6x-x=x-x+16

5x=16

 

divide both sides by 5

5x/5=16/5

 

x=16/5

 

Answer 3

x + x/2 - 4 = x/4

 

x + x/2 - x/4 = 4

 

4x/4 + 2x/4 - x/4 = 4

 

5x/4 = 4

 

multiply both sides by 4:

 

5x = 16

 

divide both sides by 5:

 

x = 16/5