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x + x/2 - 4 = x/4

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3 Answers

 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
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
 
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