Question

How do you solve `10x + 16= 6x - 8`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(16)` and `color(blue)(6x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(blue)(6x) + 10x + 16 - color(red)(16) = -color(blue)(6x) + 6x - 8 - color(red)(16)`

`(-color(blue)(6) + 10)x + 0 = 0 - 24`

`4x = -24`

Now, divide each side of the equation by `color(red)(4)` to solve for `x` while keeping the equation balanced:

`(4x)/color(red)(4) = -24/color(red)(4)`

`(color(red)(cancel(color(black)(4)))x)/cancel(color(red)(4)) = -6`

`x = -6`

Answer 2

`x=color(purple)(-4)`

Explanation:

`10x+16=6x-8`
Transfer x terms to the left and constant (number) terms to the right.
`10x-6x=-16-8`
`4x=-24`
`x=-24/4=color(purple)(-4)`