Math Problem Statement

Solve 2x + 12 = 2

Solution

Let's solve the equation:

2x+12=22x + 12 = 2

Step 1: Subtract 12 from both sides

2x=2122x = 2 - 12 2x=102x = -10

Step 2: Divide both sides by 2

x=102x = \frac{-10}{2} x=5x = -5

The solution is:

x=5x = -5

Would you like more details on the steps? Here are some related questions to explore:

  1. How can you check the solution for xx?
  2. What would happen if the constant term was different, say 2x+12=52x + 12 = 5?
  3. How do you solve a similar equation with fractions?
  4. What if the equation had more variables, like 2x+3y+12=22x + 3y + 12 = 2?
  5. What does it mean when there is no solution or infinitely many solutions to such an equation?

Tip: Always double-check your solution by plugging the value of xx back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation formula: ax + b = c

Theorems

Properties of equality

Suitable Grade Level

Grades 6-8