Question

x/5-2=5(×-3)/4 me ajudem a resolver essa equação ​

Answer 1

$\frac{x}{5} \: - \: 2 \: = \: \frac{5(x \: - \: 3)}{4}$

$\frac{x}{5} \: + \: - 2 \: = \: \frac{5}{4}x \: + \: \frac{ - 15}{4}$

$\frac{1}{5}x \: + \: -2 \: = \: \frac{5}{4}x \: + \: \frac{ - 15}{4}$

$\frac{1}{5}x \: - 2 \: = \: \frac{5}{4}x \: + \: \frac{ - 15}{4}$

$\frac{1}{5}x \: - 2 \: - \: \frac{5}{4}x \: = \: \frac{5}{4}x \: + \: \frac{ - 15}{4} \: - \: \frac{5}{4}x$

$\frac{ - 21}{20}x \: - \: 2 \: = \: \frac{ - 15}{4}$

$\frac{ - 21}{20}x \: - 2 \: + \: 2 \: = \: \frac{ - 15}{4} \: + \: 2$

$\frac{ - 21}{20}x \: = \: \frac{ - 7}{4}$

$( \frac{20}{ - 21}) \: \times \: ( \frac{ - 21}{20}x) \: = \: ( \frac{20}{ - 21}) \: \times \: ( \frac{ - 7}{4})$

$x \: = \: \frac{5}{3}$