(2x+6)/2-x=3

Jasonbradley

less than a minute read Jun 16, 2024

Solving the Equation: (2x + 6)/2 - x = 3

This article will guide you through the steps of solving the equation (2x + 6)/2 - x = 3.

Step 1: Simplify the Left-Hand Side

Begin by simplifying the left-hand side of the equation.

Distribute the 1/2: (2x + 6)/2 = x + 3
Rewrite the equation: x + 3 - x = 3

Step 2: Combine Like Terms

Combine the 'x' terms on the left-hand side.

Simplify: 3 = 3

Step 3: Analyze the Result

The equation simplifies to 3 = 3. This is a true statement.

Conclusion

Since the equation simplifies to a true statement, this means the original equation is an identity. An identity is an equation that is true for all values of the variable. In other words, any value of 'x' will satisfy the equation (2x + 6)/2 - x = 3.