Let's first draw the scenario to better understand the question.
Equation of segment A = 2x + 1
Equation of segment B = 3x + 4
It also says that the second segment is two times the length of the first segment.
We will use that relationship to find x.
[tex]\text{ Length of segment B = 2 x Length of segment A}[/tex][tex]\text{ 3x + 4 = 2\lparen2x + 1\rparen}[/tex][tex]\text{ 3x + 4 = 4x + 2}[/tex][tex]\text{ 3x - 4x = 2 - 4}[/tex][tex]\text{ -x = -2}[/tex][tex]\text{ }\frac{-x}{-1}\text{ = }\frac{-2}{-1}[/tex][tex]\text{ x = 2}[/tex]Therefore, x = 2
