Math Problem Statement

-48=-4x

Solution

To solve the equation 48=4x-48 = -4x, follow these steps:

  1. Isolate xx by dividing both sides of the equation by 4-4:

    484=4x4\frac{-48}{-4} = \frac{-4x}{-4}

    This simplifies to:

    12=x12 = x

Thus, the solution is x=12x = 12.

Would you like more details or have any questions? Here are 5 related questions to deepen your understanding:

  1. How do you solve equations when variables appear on both sides?
  2. What happens when you divide both sides of an equation by a negative number?
  3. How can you check if your solution to an equation is correct?
  4. What are the steps to solving multi-step equations with parentheses?
  5. How would you solve an equation involving fractions, such as 5x=10\frac{5}{x} = 10?

Tip: Always perform the same operation on both sides of an equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

Division to isolate the variable: x = \( \frac{-48}{-4} \)

Theorems

Equality Property of Equations

Suitable Grade Level

Grades 6-8