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Find $x$ if:
$\frac{5}{6}(x\ -\ 1)\ =\ x\ -\ 5$
Given: $\frac{5}{6}(x\ -\ 1)\ =\ x\ -\ 5$
To do: Here we have to find the value of $x$ in the given equation.
Solution:
$\frac{5}{6}(x\ -\ 1)\ =\ x\ -\ 5$
$5(x\ -\ 1)\ =\ 6(x\ -\ 5)$
Expanding the brackets:
$5x\ -\ 5\ =\ 6x\ -\ 30$
$-5\ +\ 30\ =\ 6x\ -\ 5x$
$\mathbf{25\ =\ x}$
So, value of x = 25.
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