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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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