Question

Solve for $x$
$24x - 20 = 105 - x$

Answer 1

Hint: Given equation is in linear form with one variable $x$ . This equation can be solved by taking the terms of $x$ to one side and other constants to the other side. By doing so, we can directly find the value of $x$ .

Complete step-by-step answer:
Step 1:
The given equation is $24x - 20 = 105 - x$
This equation has a single variable $x$ and the degree of the equation is one. This kind of equations are called linear equations of single degree or also called single degree polynomials.
Step 2:
We generally start solving these equations by bringing the variables to one side and constants to the other side.
By doing so, we get the equation as
$24x + x = 105 + 20$
$25x = 125$
Step 3:
Now we have a direct equation which can be solved with direct dividing the constant side with the coefficient of variable $x$
$x = \dfrac{{125}}{{25}}$
By doing so, we get the value as
$x = 5$
By solving the above equation, we got the value of $x$ as $5$ .

Note: As we have seen in the above problem, there is only a single value of $x$ possible.
There are various other types of equations possible based on the power of variables and the number of variables present. An equation with multiple variables is called a multi variable equation. An equation with the power of a variable more than one is called a multi degree polynomial.