As shown you have an equality, not an inequality.
-6x+2=2(5-x) distribute through parenthesis
-6x+2=10-2x add 2x to both sides
-4x+2=10 subtract 2 from both sides
-4x=8 divide both sides by -4
-4x/(-4) = 8/(-4)
x = -2
With the ≥ or ≤ sign you would solve the exact same way
except for the point where when dividing both sides by
-4 requires you to reverse the inequality.
Your final answer is either
x≥-2 if your initial inequality was
if your initial inequality was
Graphing on number line.
Let's take the answer x ≥ -2
since ther is an equality draw a closed dot at the point x=-2
indicating the point is included in the answer
Draw a ray withan arrow running the the right from that point
indicating all points to the right of -2 are included
Sorry, the drawing capacities here are very limited.
If it was x≤-2 the arrow would point left instead of right