Solve the equation $\frac{2x}{5} - \frac{3}{5} = \frac{x}{2}+1$.

Given:

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

To do:

We have to solve the given equation.

Solution: 

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

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

$\frac{2x\times2-x\times5}{10}=\frac{3+5\times1}{5}$

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

$\frac{-x}{10}=\frac{8}{5}$

$-x=\frac{10\times8}{5}$

$-x=2\times8$

$-x=16$

$x=-16$

The value of $x$ is $-16$.

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Updated on: 10-Oct-2022

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