[tex]x = \frac{22}{3} [/tex]
[tex]x = 7 \frac{1}{3} \: or \: x = 7.33333333333[/tex]
[tex]2(3x + 1) = 17 - 3( x - 17) \\ distribute \\ \\ 6x + 2 = 17 - 3x + 51 \\ add \: 3x \: from \: both \: sides \\ \\ 9x + 2 = 17 + 51 \\ add \: 17 \: to \: 51 \\ \\ 9x + 2 = 68 \\ subtract \: 2 \: from \: both \: sides \\ \\ 9x = 66 \\ divide \: both \: sides \: by \: 9 \\ \\ x = \frac{22}{3} [/tex]