How to solve X is the main question that several school students are wondering about. Solving an equation is exhausting for them. If you are one who finds difficulty in solving an equation, then this blog is for you. Well, several students got scared when they heard the word mathematics, mainly when they get to know that they have to solve the equation and find the value of X.
However, in this blog, we will discuss and learn the 5 effective methods that help you in how to solve X and you can get math homework help. Let’s start our discussion with what actually is an X equation in Mathematics.
What is the X equation in Mathematics?
An equation refers to when the two sides have conjunction = and both left-hand and right-hand sides are identical. For example –
8 – X = 4
-X = 4 – 8
Hence, X = 4
So the value of X is 4.
However, 8 – 4 = 4. Thus, both sides are equal (4 = 4).
Here X is a variable. It can change as per the equation.
Moreover, when we find the value of X, it is known as a solution. Like the solution in the above equation is 4.
Let’s start learning the different methods to solve the value of X.
4 Methods of How to Solve X
Following are the different ways to solve X like a professional.
Using A Basic Linear Equation
It is an algebraic equation. In this equation, each term has an exponent of one, and the graphing of the equation occurs in a straight line. Look at the below-mentioned example to solve X with Basic Linear Equation.
Suppose you have an equation,
3^2 ( X + 5 ) – 13 + 8 = 67
So start solving the X with the exponent.
9 ( X + 5 ) – 13 + 8 = 67
Do the multiplication, 9X + 45 – 13 + 8 = 67
Next, do the Subtraction and Addition and simplify the equation.
9X + 45 – 5 = 67
9X + 40 = 67
9X = 67 – 40
9X = 27
X = 27/9, X = 3
Thus, the value to X is 3.
To Check Your Work
Put the X’s value in the equation,
3^2 ( X + 5 ) – 13 + 8 = 67
9 ( 3 + 5 ) – 13 + 8 = 67
27 + 45 – 13 + 8 = 67
72 – 13 + 8 = 67
59 + 8 = 67
67 = 67
Solving an Equation With Exponent
It is a symbol that is written above and to the right of a mathematical expression to show the power-raising method. Let’s take an example:
Suppose we have an equation,
2X^2 + 12 = 44
Isolate the term with exponent,
2X^2 + 12 – 12 = 44 – 12
2X^2 = 32
Divide the both sides by the coefficient of X.
2X^2/2 = 32/2
X^2 = 16
Apply the square root of each side of the equation. The square root will cancel the power of X.
Square root of X = Square root of 16
X = +-4
To check the work,
put X = 4 and X = -4 in the equation. For example, if we put X = 4.
2X^2 + 12 = 44
2 X (4)^2 + 12 = 44
2 X 16 + 12 = 44
32 + 12 = 44
44 = 44
Using Fraction
It is a number that is represented as a proportion of two whole numbers. For example, ½ and ¾ are both fractions. Let’s learn from the example below:
Suppose you have an equation,
X + 3 / 6 = 2 / 3
Cross Multiply it,
3 ( X + 3 ) = 2 ( 6 )
3X + 9 = 12
Combine the terms,
3X + 9 – 9 = 12 – 9
3X = 3
Divide the both sides by the coefficient of X.
3X/3 = 3/3
X = 1
To check the work,
put the value of X in the equation.
X + 3 / 6 = 2 / 3
1 + 3 / 6 = 2 / 3
4 / 6 = 2 / 3
2 / 3 = 2 / 3
Using Absolute Value
The symbol “|” is placed on both sides to mean “Absolute Value,” thus we write: |−8| = 8. Let’s take an example to solve X using Absolute value.
We have an equation,
|4X + 2| – 6 = 8
Combine the terms,
|4X + 2| – 6 + 6 = 8 + 6
|4X + 2| = 14
Remove absolute value and solve the equation,
4X + 2 = +14
4X + 2 – 2 = +14 – 2
4X = 12
X= 12\4
X = 3
Remove absolute value and replace the sign on the right-hand side of the equation.
4X + 2 = – 14
4X + 2 – 2 = – 14 – 2
4X = -16
X = -16\4
X = -4
However, the value of X is 3 and -4.
Check Your Work
Let’s put the value of X = 3.
|4X + 2| – 6 = 8
|4(3) + 2| – 6 = 8
|12+2| – 6 = 8
|14| – 6 = 8
8 = 8
If we put the X’s value -4.
|4X + 2| – 6 = 8
|4(-4) + 2| – 6 = 8
|-16 + 2| – 6 = 8
|-14| – 6 = 8
14 – 6 = 8
8 = 8
Conclusion.
To conclude, we have discussed 4 different methods of how to solve X. Several students consider maths and algebraic equations challenging, but it is easy to learn logic and reasoning. However, you just need to understand math concepts, and it becomes easy for you to solve any question of mathematics. Thus, if you have read this blog, then you can understand how to solve X.
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