Math Problem Statement

8 - 2x = 10

Solution

Let's solve the equation step by step:

Given equation: 82x=108 - 2x = 10

Step 1: Subtract 8 from both sides

82x8=1088 - 2x - 8 = 10 - 8 This simplifies to: 2x=2-2x = 2

Step 2: Divide both sides by -2

x=22x = \frac{2}{-2} x=1x = -1

Thus, the solution is: x=1x = -1

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you check the solution of an equation?
  2. How do you solve equations with variables on both sides?
  3. What happens when there's no solution to an equation?
  4. How do you solve equations involving fractions?
  5. How can you solve quadratic equations?

Tip: Always check your solution by substituting it back into the original equation to verify correctness.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation solving: ax + b = c

Theorems

Properties of equality

Suitable Grade Level

Grades 6-8