Question

Solve the following equation and check your results:
$2x-1=14-x$

Answer 1

Given equation is $2x-1=14-x$.

Transposing $-1$ to RHS and $-x$ to LHS, we get:
$2x+x=14+1$
$3x=15$

Now, on dividing both sides by $3$, we get:
We will get,
$x=5$

Hence, $x=5$ is the solution of $2x-1=14-x$.

Let's check the solution by substituting it into the equation:

LHS $\Rightarrow 2x-1$

$=2\times 5-1$

$=10-1$

$=9$

RHS $\Rightarrow 14-x$

$=14-5$

$=9$

Here, LHS $=$ RHS

So, the solution is correct.

Hence, $x=5$ is the solution of $2x-1=14-x$ and is verified.