Question

How do you solve `-2x - 6= 14+ 3x`?

Answer 1

`x=-4`

Explanation:

Given:`color(white)("XXXXXXXXXXXXXX")-2x-6=color(white)("x")14+3x`
Add `6` to both sides:`color(white)("XXXXXXX")ul(color(white)("xxxx")+6)=ul(+6color(white)("xxxxxxx"))`
`color(white)("XXXXXXXXXXXXXXXXXX")-2xcolor(white)("xxxx")=20+3x`
Subtract `x` from both sides:`color(white)("XXX")ul(-3xcolor(white)("xxxx"))=ul(color(white)("xxx")-3x)`
`color(white)("XXXXXXXXXXXXXXXXXX")-5xcolor(white)("xxxx")=20`
Divide both sides by `(-5)color(white)("XX")ul(div (-5)color(white)("xx"))=ul(div(-5))`
`color(white)("XXXXXXXXXXXXXXXXXXXX")xcolor(white)("xxx")=-4`

Answer 2

The answer is `x=-4.`

Explanation:

`-2x-6=14+3x`

`-2x-3x=14+6`

(Transferring `3x` to LHS and `-6` to RHS changes their signs i.e. + becomes - and vice versa)

`-5x=20`

`x=20/-5`

`x=-4.`

Hope this helps. :)