[tex]\frac{2c}{c - 4} - 2 = \frac{4}{c + 5} \\\frac{2c}{c - 4} - \frac{2}{1} = \frac{4}{c + 5} \\\frac{2c}{c - 4} - \frac{2(c - 4)}{1(c - 4)} = \frac{4}{c + 5} \\\frac{2c}{c - 4} - \frac{2c -8 }{c - 4} = \frac{4}{c + 5} \\\frac{8}{c - 4} = \frac{4}{c + 5} \\4(c - 4) = 8(c + 5) \\4(c) - 4(4) = 8(c) + 8(5) \\4c - 16 = 8c + 40 \\-16 = 4c + 40 \\-\frac{56}{4} = \frac{4c}{4} \\-14 = c[/tex]
