https://file.aiquickdraw.com/mathbot/file/172684492234488nmrpii.jpg

The equation visible in the image is:

\[ 4x + 1 = 2x - 5 \]

Let’s solve this step-by-step:

### Step 1: Move all terms involving \(x\) to one side.
Subtract \(2x\) from both sides:
\[
4x - 2x + 1 = -5
\]
\[
2x + 1 = -5
\]

### Step 2: Move the constant to the other side.
Subtract 1 from both sides:
\[
2x = -5 - 1
\]
\[
2x = -6
\]

### Step 3: Solve for \(x\).
Divide both sides by 2:
\[
x = \frac{-6}{2}
\]
\[
x = -3
\]

The solution to the equation is \(x = -3\).

Would you like further details or have any questions?

Here are some related questions for practice:
1. How would you check if \(x = -3\) is a correct solution?
2. What happens if you move the constants first instead of the variables?
3. Solve the equation \(5x - 7 = 3x + 9\).
4. How would you solve the equation \(7x + 2 = 4x - 10\)?
5. How can equations like this be applied in real-world problems?

**Tip**: Always simplify equations step-by-step and move terms logically to avoid mistakes.

Learn how to solve the linear equation 4x + 1 = 2x - 5 with a clear, step-by-step solution. This problem involves algebraic concepts such as isolating variables and applying the properties of equality. 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