Question

How do you solve `x+ 3= - 11- x`?

Answer 1

`x=-7`

Explanation:

`x+3=-11-x`
Add `x` to both sides `\rArrx+3\color(olive)(+x)=-11\cancel(-x)\cancel(\color(olive)(+x))`
Subtract 3 from both sides `rArr2x\cancel(+3)\cancel(\color(indianred)(-3))=-11\color(indianred)(-3)`
Simplify `rArr2x=\color(mediumaquamarine)(-14)`
Divide both sides by 2 `rArr(\cancel(2)x)/\cancel(\color(seagreen)(2))=-14/\color(seagreen)(2)`
`x=-7`

plug in to check:
`\color(red)(-7)+3\stackrel{?}{=}-11-(\color(red)(-7))`
`-4=-4`