Respuesta:
Ahí está, perdón la demora :)
Explicación paso a paso:
a)
[tex] \frac{1}{2} x - 2 = \frac{1}{6} x \\ ( \frac{1}{2} - \frac{1}{6} )x = 2 \\ \frac{2}{6} x = 2 \\ x = \frac{2 \times 6}{2} \\ x = 6[/tex]
b)
[tex] \frac{1}{4} x + 1 = \frac{1}{3} x \\ 1 = ( \frac{1}{3} - \frac{1}{4} )x \\ 1 = ( \frac{1}{12} )x \\ x = 1 \times 12 = 12[/tex]
c)
[tex] \frac{x - 4}{5} = \frac{x + 2}{10} \\ 10(x - 4) = 5(x + 2) \\ 10x - 40 = 5x + 10 \\ 5x = 50 \\ x = 10[/tex]
d)
[tex] \frac{2x - 7}{3} = \frac{x - 5}{15} \\ 15(2x - 7) = 3(x - 5) \\ 30x - 105 = 3x - 15 \\ 27x = 90 \\ x = \frac{90}{27} = \frac{10}{3} [/tex]
