Question

solve the following equation X/5=x-1/6
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Answer 1

$\huge\fbox\purple{Answer}$

$\frac{x}{5} = x - \frac{1}{6} \\ \frac{x}{5} + \frac{1}{6} = x \\ \frac{6x + 5}{30} = x \\ 6x + 5 = 30x \\ 30x - 6x = 5 \\ 24x = 5 \\ x = \frac{5}{24}$

Answer 2

$\huge\tt\colorbox{black}{\pink{Answer}}$

$\frac{x}{5} = x - \frac{1}{6}$

$\frac{x}{5} + \frac{1}{6} = x$

$\frac{6x + 5}{6 \times 5} = x$

$\frac{6x + 5}{30} = x$

$6x + 5 = 30x$

$5= 30x - 6x$

$5 = 24x$

$\frac{5}{24} = x$

$\bold\pink{x = \frac{5}{24}}$