https://file.aiquickdraw.com/mathbot/file/1726173178345z7xritag.jpg

The equation provided in the image is:

\[
4x + 7 = 5x + 11
\]

Let's solve for \( x \).

### Step-by-Step Solution:

1. **Subtract \(4x\) from both sides** to isolate terms involving \(x\) on one side:
   \[
   4x + 7 - 4x = 5x + 11 - 4x \implies 7 = x + 11
   \]

2. **Subtract 11 from both sides** to solve for \(x\):
   \[
   7 - 11 = x + 11 - 11 \implies -4 = x
   \]

3. Thus, the solution is:
   \[
   x = -4
   \]

### Conclusion:

The value of \( x \) that satisfies the equation \(4x + 7 = 5x + 11\) is \(-4\).

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

### Related Questions:
1. How do you solve equations involving fractions?
2. What happens when there is no solution to a linear equation?
3. How do you solve a system of linear equations?
4. What are some examples of real-life applications of linear equations?
5. How do you graph a linear equation on a coordinate plane?

### Tip:
When solving linear equations, always aim to isolate the variable on one side by performing the same operation on both sides of the equation.

Learn how to solve the linear equation 4x + 7 = 5x + 11 step-by-step. This problem introduces fundamental algebraic techniques used to manipulate and solve equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation