Question

Solve: $0.25(16x - 6) = 0.5(2x + 3)$

Answer 1

Hint: Open the brackets by multiplying them with their respective numbers. The addition is the sum of two or more than two variables or numbers and in addition, if we sum the two or more numbers then we obtain a new frame of the number will be found, also in subtraction which is the minus of given two or more than two numbers, but here comes with the condition that in subtraction the greater number sign represented in the number will stay constant example $2 - 3 = - 1$
Formula Used:
Simple rules of BODMAS are used. B refers bracket, O for ‘of’, D refers division, M for multiplication, A for addition, and S for subtraction.

Complete answer:
According to BODMAS, first we will solve the bracket, then multiply the numbers and then perform the addition and subtraction. So, to solve the bracket multiply 0.25 with $16x - 6$ and 0.5 with $2x + 3$.
$0.25 \times 16x - 0.25 \times 6 = 0.5 \times 2x + 0.5 \times 3$
On simplifying the above, we get
$4x - 1.5 = 1x + 1.5$
When $1.5$ on the left-hand side is brought on the right-hand side, the negative sign will be changed to the positive sign. Thus,
$4x - x = 1.5 + 1.5$
$3x = 3$
Now, divide $3$ on the right-hand side with the 3 on the left-hand side, this can also be written as
$x = \dfrac{3}{3}$
$x = 1$
Therefore, solving the above equation for x we will get the value $1$.

Note:
In the above problem, we have used transposition method that is keeping the unknown variable on one side and transporting the other terms to the other side so that we can simplify it to find the value of the unknown variable. We also have another method called systematic method that is we will solve a simple equation by eliminating the terms that comes along with the unknown variable in order to get the required variable alone on one side. We did not used this method as it is more time consuming when compared to the transposition method.