Question

-(x-7)+five over three =2(x+9)

Answer 1

`x=-3(1)/(9)`

Explanation:

Given expression:

`-(x-7)+(5)/(3)=2(x+9)`

To solve for
`x`

Solution:

Using distribution:

`-x-(-7)+(5)/(3)=2x+2(9)`

`-x+7+(5)/(3)=2x+18`

Adding
`x` to both sides.

`-x+7+(5)/(3)+x=2x+18+x`

`7+(5)/(3)=3x+18`

Subtracting 18 from both sides.

`7+(5)/(3)-18=3x+18-18`

`(5)/(3)-11=3x`

Multiplying each term with 3 to remove fractions.

`3*(5)/(3)-3(11)=3* 3x`

`5-33=9x`

`-28=9x`

Dividing both sides by 9.

`(-28)/(9)=(9x)/(9)`

∴
`x=-3(1)/(9)` (Answer)