1)
[tex]2x - (3x + 1) = 6[/tex]
[tex]2x - 3x - 1 = 6[/tex]
[tex] - x = 7[/tex]
[tex]x = - 7[/tex]
2)
[tex] \frac{1}{3} x - 2 = x + 2[/tex]
[tex] - \frac{2}{3} x = 4[/tex]
[tex]x = 4 \times ( - \frac{3}{2} ) = - 6[/tex]
3)
[tex](x + 3)(x + 2) - {x}^{2} = 0[/tex]
[tex] {x}^{2} + 2x + 3x + 6 - {x}^{2} = 0[/tex]
[tex]5x = - 6[/tex]
[tex]x = - \frac{6}{5} = - 1 \frac{1}{5} [/tex]
4)
[tex] \frac{2x - 1}{5} - \frac{x - 2}{2} = 0.7x [/tex]
[tex]2(2x - 1) - 5(x - 2) = 10 \times \frac{7}{10} x[/tex]
[tex]4x - 2 - 5x + 10 = 7x[/tex]
[tex] - 8x = - 8[/tex]
[tex]x = 1[/tex]
