[tex]x + 9 = 4x - 3 \\ x + 9 + 3 = 4x \\ 9 + 3 = 4x - x \\ 12 = 4x - x \\ 12 = 3x \\ x = \frac{12}{3} \\ x = 4[/tex]
to find the length of LK plug x into 4x-3 and x+9 then add them together
[tex](4x - 3) \\ (4 \times 4 - 3) \\ (16 - 3) \\ = 13[/tex]
[tex](x + 9) \\ (4 + 9) \\ = 13[/tex]
[tex]13 + 13 = 26[/tex]
E is the answer
