Math Problem Statement

4x-5=11

Solution

To solve the equation 4x5=114x - 5 = 11:

  1. Add 5 to both sides: 4x5+5=11+54x - 5 + 5 = 11 + 5 4x=164x = 16

  2. Divide both sides by 4: 4x4=164\frac{4x}{4} = \frac{16}{4} x=4x = 4

Thus, the solution is x=4x = 4.

Would you like more details, or do you have any other questions?

Here are some related questions to explore:

  1. What happens if we multiply both sides of the equation by 2 first?
  2. How would you solve 5x7=185x - 7 = 18?
  3. What is the difference between solving equations with variables on both sides versus one side?
  4. Can equations like 4x5=114x - 5 = 11 have more than one solution?
  5. How do you verify if a solution to an equation is correct?

Tip: Always check your solution by substituting the value of xx back into the original equation!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation solving: ax + b = c

Theorems

Addition property of equality
Division property of equality

Suitable Grade Level

Grades 6-8