Question

How do you solve `6x-16=68+18x`?

Answer 1

See below

Explanation:

We combine like-terms.

`6x-16=68+18x`

`-16-68=18x-6x`

`-84=12x`

`-7=x`

Answer 2

`x=-7`

See the process in the explanation.

Explanation:

Solve:

`6x-16=68+18x`

Subtract `6x` from both sides.

`color(red)cancel(color(black)(6x))-color(red)cancel(color(black)(6x))-16=68+18x-6x`

Simplify.

`-16=68+12x`

Subtract `68` from both sides.

`-16-68=color(red)cancel(color(black)(68))-color(red)cancel(color(black)(68))+12x`

Simplify.

`-84=12x`

Divide both sides by `12`.

`color(red)cancel(color(black)(-84))^(-7)/color(red)cancel(color(black)(12^1))=color(red)cancel(color(black)(12)color(black)x)/color(red)cancel(color(black)(12))`

Simplify.

`-7=x`

Switch sides.

`x=-7`