a)
[tex] - 2 + 3x = 14[/tex]
[tex]3x = 14 + 2[/tex]
[tex]3x = 16 | \div 3[/tex]
[tex]x = \frac{16}{3} = 5 \frac{1}{3} [/tex]
b)
[tex]5(x - 1) + 6 = - 11 - x[/tex]
[tex]5x - 5 + 6 = - 11 - x[/tex]
[tex]5x + x = - 11 - 6 + 5[/tex]
[tex]6x = - 12 | \div 6[/tex]
[tex]x = - 2[/tex]
c)
[tex]0.02x - 13 = 0.15x[/tex]
[tex] - 13 = 0.15x - 0.02x[/tex]
[tex] - 13 = 0.13x | \div 0.13[/tex]
[tex] - 13 = 0.13x | \div \frac{13}{100} [/tex]
[tex] - 13 = 0.13x | \times \frac{100}{13} [/tex]
[tex]x = - 13 \times \frac{100}{13} = - 100[/tex]
d)
[tex]2x - 3x + \frac{5}{3} = - \frac{1}{2}x - 4 | \times 6[/tex]
[tex]12x - 18x + 10 = - 3x - 24[/tex]
[tex]12x - 18x + 3x = - 24 - 10[/tex]
[tex] - 3x = - 34 | \div ( - 3)[/tex]
[tex]x = \frac{34}{3} = 11 \frac{1}{3} [/tex]
