Math Problem Statement

Solve the equation x - 3 = 2 and find the correct value of x.

Solution

The image shows the equation x3=2x - 3 = 2 and appears to say "dan x=12x = \frac{1}{2}" (possibly meaning "then x=12x = \frac{1}{2}"). However, this solution does not correctly follow from the equation x3=2x - 3 = 2. Let's solve the equation step by step:

  1. Given equation: x3=2x - 3 = 2

  2. Add 3 to both sides: x=2+3x = 2 + 3

  3. Simplify: x=5x = 5

The correct solution is x=5x = 5, not x=12x = \frac{1}{2}.

Would you like more details on this process, or do you have any questions?

Here are some related questions to explore:

  1. What happens if we solve x3=2x - 3 = -2 instead?
  2. How would you check if a solution to an equation is correct?
  3. What is the significance of isolating the variable in an equation?
  4. How can equations like x3=2x - 3 = 2 appear in real-world problems?
  5. What is the process for solving a linear equation in general?

Tip: When solving equations, always double-check your work by substituting the solution back into the original equation to ensure it satisfies the equation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Basic Algebra

Formulas

x - 3 = 2

Theorems

Addition property of equality

Suitable Grade Level

Grades 6-8