# Given <mstyle displaystyle="true"> - 2 x - 5 &lt; - 2

Given $-2x-5<-2$ I got $-2x<3$ . Is this correct? How do I solve from here?
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gutinyalk
Step 1
You managed to get from $\text{XXX}-2x-5<-2$ to $\text{XXX}-2x<3$
So let's start from that point.
In "solving" one of these problems the goal is to isolate a single x on one side of the inequality.
Step 2
Remember the rule that tells you that you can multiply or divide both sides of an inequality by any negative number if you reverse the inequality sign.
$\text{XXX}-2x<3$
after dividing both sides by (-2), becomes
$\text{XXX}x>-\frac{3}{2}$

kramberol
Step 1
$\text{XXX}-2x<3$
after adding 2x to both sides, becomes
$\text{XXX}0<3+2x$
then subtracting 3 from both sides, becomes
$\text{XXX}-3<2x$
and, finally, dividing both sides by 2
$\text{XXX}-\frac{3}{2}
which is just another way of writing $x>-\frac{3}{2}$