The variable x is 9 / 2.
How to find the variable x in the equation?
The equation is represented as follows;
2 / 5 (2 - x) = - 1 / 3 x + 1 / 2
open the bracket on the left side
2 / 5 (2 - x) = - 1 / 3 x + 1 / 2
4 / 5 - 2x / 5 = - 1 / 3 x + 1 / 2
Add 1 /3 x to both sides
4 / 5 - 2x / 5 = - 1 / 3 x + 1 / 2
4 / 5 - 2x / 5 + 1 / 3 x = - 1 / 3 x + 1 / 3 x + 1 / 2
4 / 5 + 1 / 3 x - 2 / 5 x = 1 / 2
4 / 5 + 5x - 6x / 15 = 1 / 2
4 / 5 - x / 15 = 1 / 2
subtract 4 / 5 from both sides
4 / 5 - 4 / 5 - x / 15 = 1 / 2 - 4 / 5
- x / 15 = 5 - 8 / 10
- x / 15 = - 3 / 10
cross multiply
- x / 15 = - 3 / 10
-10x = - 45
divide both sides by -10
x = 45 /10
x = 9 / 2
Therefore, the variable x is 9 / 2.
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