Math Problem Statement

2x+6=10

Solution

To solve the equation 2x+6=102x + 6 = 10:

  1. Subtract 66 from both sides to isolate the term with xx: 2x=1062x = 10 - 6 2x=42x = 4

  2. Divide both sides by 22 to solve for xx: x=42x = \frac{4}{2} x=2x = 2

Solution: x=2x = 2.


Would you like further explanation or examples?
Here are some related questions you might find useful:

  1. What if the equation was 3x+6=123x + 6 = 12?
  2. How do we solve equations involving fractions like x2+3=5\frac{x}{2} + 3 = 5?
  3. What steps would change if 2x+6=102x + 6 = 10 was 2x6=102x - 6 = 10?
  4. How do we check the solution of an equation?
  5. Can equations like 2x2+6=102x^2 + 6 = 10 be solved similarly?

Tip: Always double-check your solution by substituting it back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Solving linear equations of the form ax + b = c

Theorems

Properties of equality (Addition and Division properties)

Suitable Grade Level

Grades 6-8