14.4/x=14.4/20-14.4/100

The result is x=25. Why I dont know

wow not easy:

Equation to Solve
14.4x=14.420−14.4100

Solution Steps

1. Negate
14.4x=14.420−14.4100

2. Move Variables to Right
14.4=(14.420−14.4100)*x

3. Swap Both Sides of Equation
(14.420−14.4100)*x=14.4

4. Move Quantity to Right
x=14.414.420−14.4100

5. Eliminate Greatest Common Denominator
x=14.45*14.4100+-14.4100

6. Simplify Fraction Addition
x=14.45*14.4−14.4100

7. Multiply by Fraction Reciprocal
x=14.4*(1005*14.4−14.4)

8. Convert Decimals to Fractions
x=(14410)*(1005*(14410)−14410)

9. Simplify Fraction Multiplication
x=144*10010*(5*(14410)−14410)

10. Simplify Fraction Multiplication
x=144*10010*(1442−14410)

11. Simplify Constants
x=144*10010*(72−14410)

12. Simplify Multiply Terms
x=1440010*(72−14410)

13. Multiply Using Distributive Property
x=1440010*72+10*(-14410)

14. Simplify Fraction Multiplication
x=1440010*72−144

15. Simplify Multiply Terms
x=14400720−144

16. Add Constants
x=14400576

17. Simplify Term Division
x=25

This is pretty easy.
1. Since every numerator is 14.4, divide both sides by that amount. This leaves 1/x = 1/20 - 1/100
2. Both terms on the right side can be evaluated so 1/x = 0.05 - 0.01 = 0.04
3. If 1/x = 0.04, then x = 1/0.04 = 25

To solve 1 algebraically, multiply both sides by 100x, producing 100 = 5x - x = 4x, so x = 100/4 = 25