Question

Hi, umm pls help

1/6(x-5)=1/2(x+6), solve for x

And can you please explain

Answer 1

By solving the equation
`(1)/(6)(x-5)=(1)/(2)(x+6)` we found that
`x=(23)/(2) \text { or }=11 (1)/(2)`

Explanation:

Given equation,

`(1)/(6)(x-5)=(1)/(2)(x+6)` to find x

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)

Step: 2 Open brackets and simplify the term 2x-10=6x+36

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,

2x-6x=36+10

-4x=46

`-x=(46)/(4)=(23)/(2)=11 (1)/(2)`

Therefore, we solved x value from the given equation
`(1)/(6)(x-5)=(1)/(2)(x+6)` as
`x=(23)/(2) \text { or }=11 (1)/(2)`.