Answer:
x = 11
Step-by-step explanation:
the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is
x + 5 = [tex]\frac{1}{2}[/tex](3x - 1)
multiply both sides by 2 to eliminate the fraction
2x + 10 = 3x - 1 ( subtract 3x from both sides )
- x + 10 = - 1 ( subtract 10 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
