Question

How do you solve $\dfrac{5}{2}x = 10$ ?

Answer 1

First we will start by separating all the x terms. Then we will take all the $x$ terms to one side and all the integer terms to the other side. Then solve for the value of $x$.

Complete step by step answer:
First we will start by separating all the $x$ terms from all the integers in the equation. So, the equation will become, $5x = 20$.

Now we will solve for the value of $x$.

Hence, the value of $x$ will be:

\begin{array}{*{20}{c}} {5x}& = &{20} \\\ x& = &{\dfrac{{20}}{5}} \\\ x& = &4 \end{array}

Therefore, the value of $x$ in $\dfrac{5}{2}x = 10$ is $4$.

Additional Information: A polynomial is an expression having more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable.

Based on the number of terms, it is classified as monomial, binomial and trinomial. Degree of a polynomial is the highest degree of a monomial within a polynomial.

Note: While solving such questions always try to separate all the $x$ and the integer terms as much as possible. While separating the terms, make sure you are not changing their signs. After the separation of terms, while taking the variable common from one side make sure that all the terms are of the same type. While performing any arithmetic operations like addition, subtraction, xc cc multiplication or division make sure that you are handling the signs of all the variables properly.