[tex] \frac{5x + 1}{3} - \frac{2 x- 1}{6} + \frac{3x}{2} = 1 [/tex]
[tex]2 \times (5x + 1) - (2x - 1) + 9x = 6[/tex]
[tex]10x + 2 - 2x + 1 + 9x = 6[/tex]
[tex]17x + 3 = 6[/tex]
[tex]17x = 6 - 3[/tex]
[tex]17x = 3[/tex]
[tex]x = \frac{3}{17} [/tex]
[tex] \frac{x + 2}{5} - \frac{x - 2}{10} + \frac{2x - 3}{2} = x [/tex]
[tex]2 \times (x + 2) - (x - 2) + 5(2x - 3) = 10x[/tex]
[tex]2x + 4 - (x - 2) + 10x - 15 = 10x[/tex]
[tex]2x + 4 - x + 2 - 15 = 0[/tex]
[tex]x - 9 = 0[/tex]
[tex]x = 9[/tex]