If $\frac{2 x}{5}-\frac{3}{2}=\frac{x}{2}+1$, find the value of $x$.

Given: $\frac{2 x}{5}-\frac{3}{2}=\frac{x}{2}+1$.

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

Solution:

$\frac{2x}{5}-\frac{3}{2}=\frac{x}{2}+1$

$\Rightarrow \frac{2x}{5}-\frac{x}{2}=1+\frac{3}{2}$

$\Rightarrow \frac{4x-5x}{10}=\frac{2+3}{2}$

$\Rightarrow \frac{-x}{10}=\frac{5}{2}$

$\Rightarrow x=-\frac{5}{2}\times10$

$\Rightarrow x=-25$

Thus, $x=-25$.

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Updated on: 10-Oct-2022

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