Question

For what value of `x` will `3x + 4 = x - 6` be a true statement?

Answer 1

`x=-5`

Explanation:

If
`color(white)("XXX")3x+4=x-6`
then
`color(white)("XXX")3x+4color(red)(-x) = x-6color(red)(-x)`

`color(white)("XXX")2x+4=-6`

`color(white)("XXX")2x+4color(blue)(-4)=-6color(blue)(-4)`

`color(white)("XXX")2x=-10`

`color(white)("XXX")(2x)/color(green)(2) = (-10)/color(green)(2)`

`color(white)("XXX")x=-5`