Math Problem Statement

2x-6=8

Solution

To solve the equation 2x6=82x - 6 = 8, follow these steps:

  1. Add 6 to both sides to eliminate the 6-6 on the left side: 2x6+6=8+6    2x=142x - 6 + 6 = 8 + 6 \implies 2x = 14

  2. Divide both sides by 2 to solve for xx: 2x2=142    x=7\frac{2x}{2} = \frac{14}{2} \implies x = 7

So, the solution is x=7x = 7.

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

Here are 5 related questions you might want to explore:

  1. What happens if you subtract 6 from both sides instead?
  2. How would you solve 3x9=123x - 9 = 12?
  3. What is the result if you solve 2x+6=82x + 6 = 8?
  4. How would you graph the equation 2x6=82x - 6 = 8?
  5. Can you solve the equation 4x5=154x - 5 = 15?

Tip: Always isolate the variable by reversing operations in the reverse order they were applied.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation formula: ax + b = c

Theorems

Addition property of equality
Division property of equality

Suitable Grade Level

Grades 6-8