Math Problem Statement

2x+5=9

Solution

To solve the equation 2x+5=92x + 5 = 9:

  1. Subtract 5 from both sides to eliminate the constant term on the left: 2x=952x = 9 - 5 2x=42x = 4

  2. Divide both sides by 2 to solve for xx: x=42x = \frac{4}{2} x=2x = 2

So, the solution is x=2x = 2.

Would you like further details on this or have any other questions?

Here are 5 related questions:

  1. What happens if you subtract 5 first in equations like this?
  2. How do you solve more complex linear equations with fractions?
  3. Can you explain how to solve 3x7=113x - 7 = 11?
  4. How do you handle equations with variables on both sides, like 2x+3=x+92x + 3 = x + 9?
  5. What are the general steps to solve linear equations?

Tip: Always isolate the variable by performing inverse operations step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation manipulation: ax + b = c

Theorems

Inverse Operations Theorem

Suitable Grade Level

Grades 6-8