# Thread: What is the solution to 2x + 3 ≥ x - 5?

1. ## What is the solution to 2x + 3 ≥ x - 5?

What is the solution to 2x + 3 ≥ x - 5?

2. Take x from both sides then take 3 from both sides.

3. Originally Posted by pickslides
Take x from both sides then take 3 from both sides.
Thanks

4. Originally Posted by vaironxxrd
What is the solution to 2x + 3 ≥ x - 5?

$2x+3\ \ge\ x-5\Rightarrow\ x+x-5+8\ \ge\ x-5$

$\Rightarrow\ (x+8)+x-5\ \ge\ x-5$

Both sides are equal if $x+8=0$

The left-hand side is greater than the right-hand side if $x+8>0$

Therefore the solution is $x+8\ \ge\ 0\Rightarrow\ x\ \ge\ -8$