Question

Solve the following equation - 2(x-8)=18-3(5x+6)

Answer 1

-2(x-8)=18-3(5x+6)

-2x+16=18-15x-18

-2x+15x=18-18+16

13x=16

X=16/13

Answer 2

`x=-(16)/(13)`

Explanation:

`-2(x-8)=18-3(5x+6)`

Start by distributing
`-2` into
`(x-8)`, and
`-3` into
`(5x+6)`:

`-2x+16=18-15x-18`

Combine like terms:

`-2x+16=-15x`

Subtract
`16` from both sides of the equation:

`-2x=-15x-16`

Add
`15x` to both sides of the equation:

`-13x=16`

Divide both sides of the equation by the coefficient of
`x`, which is
`-13`:

`x=-(16)/(13)`