Question

Solve and find the value of x using the BODMAS rule.
$42 \div 2 + x \times 3 - 22 = 8$
$A.\,\,2$
$B.\,\,5$
$C.\,\,4$
$D.\,\,3$

Answer 1

Hint: This question is a direct application of BODMAS. The full form of BODMAS is (bracket of division multiplication addition subtraction). So, we will only do our questions in this sequence only. The concept of transposing numbers in an equation is also used here.

Complete step-by-step solution:
In the given question,
$42 \div 2 + x \times 3 - 22 = 8$
According to BODMAS, first, we have to solve brackets and then ‘of’ but both are not present in our question. so, we will skip them and move forward in the sequence.
Now, we will move on with division
On dividing $42$ with $2$ , we get
$21 + x \times 3 - 22 = 8$
Now,
We will multiply x with $3$
$21 + 3x - 22 = 8$
Now, we will do subtraction
$3x - 1 = 8$
Now,
We will do transposing and after that we will do subtraction or addition.
On transposing $1$ to R.H.S, we get
$3x = 1 + 8$
On addition, we get
$3x = 9$
$\Rightarrow x = \dfrac{9}{3}$
$\Rightarrow x = 3$
Hence, the value of x is $3$.

Note: BODMAS rule is an acronym used to remember the order of operation to be followed while solving expressions in mathematics. It stands for B- Brackets, O- Order of powers or roots, D- Division, M- Multiplication, A- Addition, and S- Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.