Solving the Equation X-4-3x12 Step-by-Step

Algebra is a fundamental part of mathematics, and solving linear equations is a crucial skill that helps in various fields from engineering to finance. In this article, we will solve the equation X-4-3x12 using multiple methods, including the BODMAS rule and other algebraic techniques.

Introduction to Algebraic Equations

Algebraic equations are mathematical expressions that use letters to represent unknown values, called variables. These equations can be solved to find the value of these unknowns. For instance, given the equation X-4-3x12, we aim to find the value of x that makes the equation true.

Solving Equation X-4-3x12 Using BODMAS Rule

Let's start with the BODMAS rule, which helps in solving equations by providing a sequence for performing operations. BODMAS stands for Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). The equation X-4-3x12 can be simplified using this rule.

Step 1: Combine like terms.
X - 4 - 3x 12
Collecting the like terms, we have X - 4 - 3x 12 which simplifies to -4x - 4 12.

Step 2: Add 4 to both sides of the equation.
-4x - 4 12
Adding 4 to both sides, we get -4x 16.

Step 3: Divide both sides by -4.
-4x 16
Dividing both sides by -4, we get x -4.

The solution to the equation X-4-3x12 using the BODMAS rule is x -4. However, this solution seems incorrect because we should get a positive value for x, as detailed in another method we will discuss shortly.

Solving Equation X-4-3x12 Using Standard Algebraic Techniques

Now let's solve the same equation using standard algebraic techniques, which is more straightforward for this type of linear equation.

Step 1: Remove parentheses using the distributive property.
X - 4 - 3x 12
This step seems unnecessary as there are no parentheses to remove, but it's omitted in this context.

Step 2: Combine like terms on the left-hand side.
X - 3x - 4 12
Combining like terms, we get -2x - 4 12.

Step 3: Add 4 to both sides of the equation.
-2x - 4 12
Adding 4 to both sides, we get -2x 16.

Step 4: Divide both sides by -2.
-2x 16
Dividing both sides by -2, we get x 4.

The correct solution to the equation X-4-3x12 using standard algebraic techniques is x 4.

Conclusion

Understanding different methods to solve equations is essential for mastering algebra. In this article, we demonstrated the application of the BODMAS rule and standard algebraic techniques to solve the equation X-4-3x12. The BODMAS approach provided an initial breakdown, while the algebraic approach led to the correct solution. When solving linear equations, it's important to identify the correct method and perform operations carefully to avoid errors.

If you're tackling similar algebraic problems or need further assistance, consider reviewing your methods and practicing similar examples for better understanding.