(2x)/(5) = 9 - (x)/(2)

Question

`(2x)/(5) = 9 - (x)/(2)`

Answer 1

Add
`(x)/(2)` to both sides:

`(2x)/(5)+(x)/(2) = 9`

Add the fractions in the left hand side:

`(2x)/(5)+(x)/(2) = (4x)/(10)+(5x)/(10)=(9x)/(10)`

So, the equation becomes

`(9x)/(10)= 9`

Multiply both sides by 10:

`9x = 90`

Divide both sides by 9:

`x = 10`