Math Problem Statement

13 - 4x = -11

Solution

To solve the equation 134x=1113 - 4x = -11:

  1. Isolate the term with xx: 134x=1113 - 4x = -11 Subtract 13 from both sides: 4x=1113-4x = -11 - 13 Simplifying the right side: 4x=24-4x = -24

  2. Solve for xx: Divide both sides by 4-4: x=244x = \frac{-24}{-4} Simplifying the fraction: x=6x = 6

So, the solution is x=6x = 6.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What happens if you change the equation to 134x=013 - 4x = 0?
  2. How would you solve 134x=1113 - 4x = 11 instead?
  3. Can you solve 132x=1113 - 2x = -11 using the same steps?
  4. How would you verify that x=6x = 6 is the correct solution?
  5. What would the solution be if the equation were 34x=113 - 4x = -11?

Tip: Always check your solution by plugging the value of xx back into the original equation to ensure it satisfies it.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation ax + b = c

Theorems

Addition property of equality
Division property of equality

Suitable Grade Level

Grades 6-8