Math Problem Statement

Solve 5x - 2 = 13

Solution

It seems the OCR misinterpreted the equation slightly. Based on the image, the correct equation is:

5x2=135x - 2 = 13

Steps to solve:

  1. Add 2 to both sides to isolate the term with xx: 5x=13+25x = 13 + 2 5x=155x = 15

  2. Divide both sides by 5: x=155x = \frac{15}{5} x=3x = 3

Thus, the solution is x=3x = 3.

Would you like more details or have any questions?

Here are some related questions to explore:

  1. What is the general method for solving linear equations?
  2. How would the solution change if the equation was 5x+2=135x + 2 = 13?
  3. Can you solve for xx if the equation was 5x2=05x - 2 = 0?
  4. How can you check if the solution is correct?
  5. What happens when the coefficient of xx is negative?

Tip: Always perform the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Isolation of variable (x) by inverse operations

Theorems

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Suitable Grade Level

Grades 7-9