Solve the following equations and check your results.
$ x=\frac{4}{5}(x+10) $.

Given:

\( x=\frac{4}{5}(x+10) \)

To do:
 We have to solve the given equation and check the result.

Solution:

$x=\frac{4}{5}(x+10)$

$5(x)=4(x+10)$

$5x=4x+40$

$5x-4x=40$

$x=40$

Substituting the value of $x$ in LHS, we get,

$x=40$

Substituting the value of $x$ in RHS, we get,

$\frac{4}{5}(x+10)=\frac{4}{5}(40+10)$

$=\frac{4}{5}(50)$

$=4(10)$

$=40$

LHS $=$ RHS

The value of $x$ is $40$.