Solve the following and check:$6 x+\frac{2}{5}=4-2 x $

Given: $6 x+\frac{2}{5}=4-2 x $

To do: Solve the following and check.

Solution:
 $6x + \frac{2}{5} = 4 - 2x$

$6x+2x=4-\frac{2}{5}$

$8x=\frac{5\times4-2}{5}$

$8x=\frac{20-2}{5}$

$8x=\frac{18}{5}$

$x= \frac{18}{5\times8}$

$x=\frac{9}{20}$

So, the value of $x$ is $\frac{9}{20}$  

Checking 

LHS = $6x +\frac{2}{5}$

        = $6\times\frac{9}{20} + \frac{2}{5}$

        =$\frac{54}{20} + \frac{8}{20}$

        = $\frac{62}{20} = \frac{31}{10}$

RHS = $4 - 2x$

         = $4 - 2\times\frac{9}{20}$

         =$ \frac{40 - 9}{10}$ 

         = $\frac{31}{10}$

Therefore, LHS = RHS proved

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Updated on: 10-Oct-2022

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