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

How do I solve this?

### 3 Answers by Expert Tutors

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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
Daryl G. | Secondary Math TutorSecondary Math Tutor
5.0 5.0 (2 lesson ratings) (2)
0
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

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

Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
4.0 4.0 (1 lesson ratings) (1)
0
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