Question

Solve the following expression:
$2.5x-6+7.5x-24=0$

Answer 1

Hint: To solve this question, we first have to simplify it so that we are able to separate x on one side of the equation. As soon as we are done separating x on one side of the equation, we will get the required value on the other side.

Complete step-by-step answer:
Division is breaking a number up into an equal number of parts. Division is an arithmetic operation used in maths. It splits a given number of items into different groups.
Dividing integers is the opposite operation of multiplication. But the rules for division of integers are the same as multiplication rules.
Rule 1: The quotient of two positive integers will always be positive.
Rule 2: The quotient of two negative integers will always be positive.
Rule 3: The quotient of a positive integer and a negative integer will always be negative.
Now we are given the equation,
 $2.5x-6+7.5x-24=0$
Bringing the unknown variables on one side and known variables on other, we get
$\begin{align}
  & 2.5x+7.5x=24+6 \\
 & 10x=30 \\
\end{align}$
Now dividing throughout by 10, we get
$\begin{align}
  & \dfrac{10x}{10}=\dfrac{30}{10} \\
 & \Rightarrow x=3 \\
\end{align}$
So we get the value of $x$ as $3$ .

Note:The possibility of error in these types of questions could be at the point where the student is trying to obtain the value of x. Always remember that while solving you cannot eliminate x itself, this will lead to incorrect solutions as x will not be left to solve.