Solving Equations Step by Step | Simplifying and Isolating Variables

X+6-5=8-2

To solve the equation X + 6 – 5 = 8 – 2, we can simplify it step by step

To solve the equation X + 6 – 5 = 8 – 2, we can simplify it step by step.

Step 1: Solve the additions on both sides first.
On the left side, X + 6 – 5 can be simplified as (X + 6) – 5 which equals X + 1. On the right side, 8 – 2 equals 6.

So, the equation simplifies to X + 1 = 6.

Step 2: Isolate X by getting rid of the constant term on the left side.
To isolate X, subtract 1 from both sides of the equation:

(X + 1) – 1 = 6 – 1,
X + 0 = 5,
X = 5.

So the solution to the equation is X = 5.

Now let’s define a few mathematical terms:

1. Equation: An equation is a mathematical statement that contains an equal sign (=). It signifies that the expressions on both sides of the equal sign are equivalent.

2. Simplify: In mathematics, to simplify an expression or equation means to reduce it to its simplest or most concise form. This is typically achieved by applying various mathematical operations, such as combining like terms, simplifying fractions, or performing operations in the correct order.

3. Constant: A constant is a fixed value in mathematics that does not change. It is a numerical value or a symbol that represents a specific number. In the given equation, the numbers 1, 5, 6, 8, and 2 are constants.

4. Isolate: In mathematics, isolating a variable means getting it alone on one side of the equation or expression. This involves performing opposite operations (such as addition and subtraction, multiplication and division) to both sides of the equation in order to isolate the variable on one side.

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