Question

How do you solve `-3x - 12\leq 3x + 12`?

Answer 1

`x>=-4`

Explanation:

Solve `-3x-12<=3x+12`

Add `3x` to both sides and simplify.

`-12<=3x+12+3x`

`-12<=6x+12`

Subtract `12` from both sides and simplify.

`-12-12<=6x`

`-24<=6x`

Divide both sides by `6` and simplify.

`-24/6<=x`

`-4<=x`

Switch sides.

`x>=-4`

Answer 2

`x>= -4`

Explanation:

We can start by adding `12` to both sides to get

`-3x<=3x+24`

Next, we can subtract `3x` from both sides to get

`-6x<=24`

Lastly, we can divide by `-6` on both sides. Since we are dividing by a negative, we must flip the inequality. We get

`x>= -4`

Hope this helps!