Math Problem Statement

2.5x - 13 = 2

Solution

Let's solve the equation 2.5x13=22.5x - 13 = 2.

Step 1: Add 13 to both sides to isolate the term with xx.

2.5x13+13=2+132.5x - 13 + 13 = 2 + 13 2.5x=152.5x = 15

Step 2: Divide both sides by 2.5 to solve for xx.

x=152.5x = \frac{15}{2.5} x=6x = 6

Final Answer:

x=6x = 6

Would you like a more detailed explanation or have any other questions?

Here are five related questions to deepen your understanding:

  1. What would happen if the equation were 2.5x13=02.5x - 13 = 0?
  2. How do you solve 3.5x+10=243.5x + 10 = 24?
  3. What is the value of xx in 1.5x9=31.5x - 9 = 3?
  4. How do you solve the equation 4x13=214x - 13 = 21?
  5. What if the equation were 2.5x13=52.5x - 13 = -5?

Tip: Always start by isolating the variable term when solving linear equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation: ax + b = c

Theorems

Equality property of equations

Suitable Grade Level

Grades 6-8