Math Problem Statement

2x+6=-4x+-12

Solution

To solve the equation 2x+6=4x122x + 6 = -4x - 12, follow these steps:

  1. Combine like terms involving xx: 2x+4x+6=122x + 4x + 6 = -12 6x+6=126x + 6 = -12

  2. Isolate the term with xx by subtracting 6 from both sides: 6x=1266x = -12 - 6 6x=186x = -18

  3. Solve for xx by dividing both sides by 6: x=186x = \frac{-18}{6} x=3x = -3

So, the solution is x=3x = -3.

Would you like further details on any step, or do you have any questions?

Here are some related questions to consider:

  1. How do you solve equations involving fractions?
  2. What happens if the equation has variables on both sides?
  3. How do you solve quadratic equations?
  4. What are the steps to solve a system of linear equations?
  5. How do you factorize a quadratic equation?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9