Math Problem Statement

4x – 9 = 15

Solution

Let's solve for xx:

4x9=154x - 9 = 15

Step 1: Add 9 to both sides

4x9+9=15+94x - 9 + 9 = 15 + 9

4x=244x = 24

Step 2: Divide both sides by 4

x=244x = \frac{24}{4}

x=6x = 6

Final Answer:

x=6\mathbf{x = 6}

Would you like a step-by-step explanation or have any questions?

Related Questions:

  1. How do you solve 5x7=185x - 7 = 18?
  2. What happens if the equation is 4x+9=154x + 9 = 15 instead?
  3. How do you solve equations with fractions, like 3x24=10\frac{3x}{2} - 4 = 10?
  4. What is the general method for solving linear equations?
  5. How do you check if your solution is correct?

Tip:

Always check your solution by substituting it back into the original equation! 😊

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Solving for x in linear equations: ax + b = c

Theorems

Additive Inverse Property
Multiplicative Inverse Property

Suitable Grade Level

Grades 6-8