If $\frac{3}{4}(x-1)=x-3$, find the value of $x$.

Given: $\frac{3}{4}(x-1)=x-3$.

To do: To find the value of $x$.

Solution:

$\frac{3}{4}(x-1)=x-3$

$\Rightarrow \frac{3}{4}x-\frac{3}{4}=x-3$

$\Rightarrow \frac{3}{4}x-x=\frac{3}{4}-3$

$\Rightarrow \frac{3x-4x}{4}=\frac{3-12}{4}$

$\Rightarrow \frac{-x}{4}=\frac{-9}{4}$

$\Rightarrow -x=-9$

$\Rightarrow x=9$

Thus, $x=9$.

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Updated on: 10-Oct-2022

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