Solve each equation. = 8

Key Concepts

Solving Equations

Solving equations involves finding the value of the variable that makes the equation true. This process often requires isolating the variable on one side of the equation through various algebraic operations, such as addition, subtraction, multiplication, or division. Understanding how to manipulate both sides of the equation while maintaining equality is crucial for finding the correct solution.

Understanding Equality

The concept of equality is fundamental in algebra, indicating that two expressions represent the same value. When solving equations, it is essential to perform the same operation on both sides to preserve this equality. This principle ensures that any changes made to one side of the equation are reflected on the other side, allowing for accurate solutions.

Types of Equations

Equations can take various forms, such as linear, quadratic, or polynomial, each requiring different methods for solving. A linear equation, for example, can typically be solved using straightforward algebraic manipulation, while quadratic equations may require factoring or the quadratic formula. Recognizing the type of equation is vital for applying the appropriate solving techniques.