Explicación paso a paso:
[tex] \frac{2x}{3} - \frac{1}{2} = \frac{5}{6} \\ \frac{2x}{3} = \frac{5}{6} + \frac{1}{2} \\ \frac{2x}{3} = \frac{10}{12} + \frac{6}{12} \\ \frac{2x}{3} = \frac{16}{12} \\ 2x = \frac{16}{12} \times 3 \\ 2x = \frac{48}{12} \\ x = \frac{ \frac{48}{12} }{2} = \frac{48}{12} \times \frac{1}{2} = \frac{48}{24} = \frac{6}{3} [/tex]
comprueba
[tex] \frac{2 \times \frac{6}{3} }{3} - \frac{1}{2} = \frac{ \frac{12}{3} }{3} - \frac{1}{2} = \frac{4}{3} - \frac{1}{2} = \frac{8}{6} - \frac{3}{6} = \frac{5}{6} [/tex]
cálculo auxiliares
[tex] \frac{5}{6} \times \frac{2}{2 } = \frac{10}{12} \\ \frac{1}{2} \times \frac{6}{6} = \frac{6}{12} \\ \frac{4}{3} \times \frac{2}{2} = \frac{8}{6} \\ \frac{1}{2} \times \frac{3}{3} = \frac{3}{6} [/tex]
espero te sirva
