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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Updated on: 10-Oct-2022

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