Question

Solve the following equation $4x - 3 = 2x + 1$

Answer 1

Hint: The sum of the two or more than two terms are called as the addition, if we sum the two or more numbers then we obtain a new frame of the number will be found which can be expressed in the symbol of $ + $, subtraction is the minus of given two or more than two numbers, but subtraction the greater number sign represented in the number will stay constant example $2 - 3 = - 1$

Complete step-by-step solution:
Given that $4x - 3 = 2x + 1$ then we need to find the value of the unknown variable $x$, so we will make use of the basic mathematical operations to simplify further.
Now turing the variables on the left-hand side and also the numbers on the right-hand side we get
$4x - 3 = 2x + 1$
$\Rightarrow 4x - 2x = 1 + 3$ while changing the values on the equals to, the sign of the values or the numbers will change.
Hence using the addition operation, we get
$4x - 2x = 4$
Now making use of the subtraction operation we get
$\Rightarrow 2x = 4$
because which is also applicable for the variables like $4x - 2x = x(4 - 2) = x(2) = 2x$
Using the division operation, we get
$\Rightarrow x = \dfrac{4}{2}$
and thus we get $x = 2$
Hence $x = 2$ is the unknown value of the given variable.

Note: The other two operations are multiplication and division operations.
Since multiplicand refers to the number multiplied. Also, a multiplier refers to multiplying the first number. Have a look at an example; while multiplying $5 \times 7$the number $5$ is called the multiplicand and the number $7$ is called the multiplier. Like $2 \times 3 = 6$ or which can be also expressed in the form of $2 + 2 + 2(3 \, times)$
The process of the inverse of the multiplication method is called division. Like $x \times y = z$is multiplication, thus the division is seen as $x = \dfrac{z}{y}$. Like $2x = 4 \Rightarrow x = \dfrac{4}{2} = 2$
Hence using simple operations, we solved the given problem.