Question

Como resolvo a fração (8/25)2x-1= (25/4)2x
Preciso muito do resultado, é trabalho de recuperação!

Answer 1

$(\frac{8}{25})*2x-1 = \frac{25}{4}*2x\\\\\frac{16x}{25}-1 = \frac{50x}{4}\\\\\frac{16x-25}{25} = \frac{25}{2}\\\\\frac{(16x-25)*2}{25*25}=\\\\\frac{32x-50}{625}=\\\\ \frac{32x}{625}-\frac{50}{625} =\\\\ \frac{32x}{625} = \frac{50}{625}\\\\ 32x = \frac{50*625}{625}[corta-corta]\\\\ x=\frac{50}{32}\\\\ x=1,5625$

Answer 2

(8/25) * 2X - 1 = (25/4) * 2X

16X/25 - 8/25 = 50/4

16x/25 = 50/4 + 8/25 m.c.m=100

16X/25 = 1.250/100 + 32/100

16X/25 = 1.282/100

16X * 100 = 1.282 * 25

1.600X = 32.050

X = 32.050/1.600

X = 20,03