Solve the following equations and check your results.
$ 2 x-1=14-x $.

Given:

\( 2 x-1=14-x \)

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

Solution:

$2 x-1=14-x$

$2x-(-x)=14+1$

$2x+x=15$

$3x=15$

$x=\frac{15}{3}$

$x=5$

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

$2x-1=2(5)-1$

$=10-1$

$=9$

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

$14-x=14-5$

$=9$

LHS $=$ RHS

The value of $x$ is $9$.