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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Updated on: 10-Oct-2022

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