Explicación paso a paso y respuesta:
[tex] \frac{x - 3}{2} - \frac{8(x - 3)}{7(x + 5)} + \frac{4}{x + 5} = \frac{1}{2} [/tex]
[tex] \frac{x - 3}{2} \times 14(x + 5) - \frac{8(x - 3)}{7(x + 5)} \times 14(x + 5) + \frac{4}{x + 5} \times 14(x + 5) = \frac{1}{2} \times 1[/tex]
[tex]7(x - 3)(x + 5) - 16(x - 3) + 56 = 7(x + 5)[/tex]
[tex]x = 3 \\ x = - \frac{12}{7} [/tex]
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Explicación paso a paso y respuesta:
[tex] \frac{x - 3}{2} - \frac{8(x - 3)}{7(x + 5)} + \frac{4}{x + 5} = \frac{1}{2} [/tex]
[tex] \frac{x - 3}{2} \times 14(x + 5) - \frac{8(x - 3)}{7(x + 5)} \times 14(x + 5) + \frac{4}{x + 5} \times 14(x + 5) = \frac{1}{2} \times 1[/tex]
[tex]7(x - 3)(x + 5) - 16(x - 3) + 56 = 7(x + 5)[/tex]
[tex]x = 3 \\ x = - \frac{12}{7} [/tex]