Math Problem Statement

2x-2=4x+6

Solution

To solve the equation 2x2=4x+62x - 2 = 4x + 6, follow these steps:

  1. Move the variable terms to one side of the equation. Subtract 2x2x from both sides: 2x2x2=4x2x+62x - 2x - 2 = 4x - 2x + 6 Simplifying gives: 2=2x+6-2 = 2x + 6

  2. Move the constant term to the other side by subtracting 6 from both sides: 26=2x+66-2 - 6 = 2x + 6 - 6 Simplifying gives: 8=2x-8 = 2x

  3. Solve for xx by dividing both sides by 2: x=82x = \frac{-8}{2} Simplifying gives: x=4x = -4

So, the solution is x=4x = -4.

Would you like more details on this solution, or do you have any further questions?

Here are 5 related questions you might find interesting:

  1. How do you solve equations that require combining like terms first?
  2. What are the steps to solve an equation where the variable term is on both sides?
  3. How do you solve equations with negative coefficients?
  4. What is the importance of checking your solution in the original equation?
  5. How do you handle equations with more than one variable?

Tip: Always isolate the variable by systematically moving terms involving the variable to one side and constants to the other.

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Math Problem Analysis

Mathematical Concepts

Equations
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9