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Solve the following linear equation.
$ x+7-\frac{8 x}{3}=\frac{17}{6}-\frac{5 x}{2} $.
Given:
$x+7-\frac{8 x}{3}=\frac{17}{6}-\frac{5 x}{2}$.
To do:
We have to solve the given linear equation.
Solution:
$x+7-\frac{8 x}{3}=\frac{17}{6}-\frac{5 x}{2}$
This implies,
$x-\frac{8x}{3}+\frac{5x}{2} =\frac{17}{6} -7$
$\frac{6\times x-8x\times 2+5x\times3}{6}=\frac{17-7\times6}{6}$
$\frac{6x-16x+15x}{6}=\frac{17-42}{6}$
$5x=-25$
$x=\frac{-25}{5}$
$x=-5$
The value of $x$ is $-5$.
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