To solve the equation \( 2x - 3 = 5x + 6 \), we will go through the following steps:

1. **Move all terms involving \(x\) to one side of the equation.**  
   Subtract \(5x\) from both sides:
   \[
   2x - 5x - 3 = 6
   \]
   This simplifies to:
   \[
   -3x - 3 = 6
   \]

2. **Move the constant terms to the other side.**  
   Add 3 to both sides:
   \[
   -3x = 6 + 3
   \]
   Simplifying:
   \[
   -3x = 9
   \]

3. **Solve for \(x\).**  
   Divide both sides by \(-3\):
   \[
   x = \frac{9}{-3} = -3
   \]

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

Do you want any more details, or have any questions?

Here are 5 related questions you might find interesting:
1. Solve \( 4x + 5 = 7x - 10 \).
2. Solve \( 3x - 2 = 2x + 4 \).
3. Solve \( 6x + 3 = 9x - 12 \).
4. What happens when there are no solutions in a linear equation?
5. How do you solve equations with fractions, like \( \frac{2x}{3} - 1 = x + 4 \)?

**Tip:** Always simplify terms involving the variable before isolating the variable on one side of the equation.

Learn how to solve the linear equation 2x - 3 = 5x + 6 with a detailed step-by-step solution. This problem demonstrates essential algebraic techniques, including isolating variables and simplifying terms. 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