To solve the equation \(3x + 4 = 5x - 10\), follow these steps:

1. **Isolate the variable term** on one side of the equation. Subtract \(3x\) from both sides:

   \[
   4 = 5x - 3x - 10
   \]

   Simplify:

   \[
   4 = 2x - 10
   \]

2. **Isolate the constant term** on the other side. Add 10 to both sides:

   \[
   4 + 10 = 2x
   \]

   Simplify:

   \[
   14 = 2x
   \]

3. **Solve for \(x\)** by dividing both sides by 2:

   \[
   x = \frac{14}{2} = 7
   \]

The solution is \(x = 7\).

Would you like a detailed explanation or have any questions?

Here are 5 related questions:

1. What is the solution to \(4x + 5 = 7x - 13\)?
2. How do you solve \(6x + 2 = 4x + 10\)?
3. What is the general process for solving linear equations?
4. How can you check if your solution to a linear equation is correct?
5. What happens if there are no solutions to a linear equation?

**Tip:** Always double-check your solution by substituting it back into the original equation.

Learn how to solve the linear equation 3x + 4 = 5x - 10. This step-by-step solution covers key algebraic concepts such as isolating variables and using inverse operations. 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