Answer
4.25
Work Step by Step
Let x be the width of the border around the painting. The overall width of the framed painting will include the right and left borders (2×x) and the 30 inch width of the painting itself.
30+2x=38.5⟶ subtract 30 from both sides
30+2x−30=38.5−30⟶ simplify
2x=8.5⟶ divide both sides by 2
2x÷2=8.5÷2⟶ simplify
x=4.25