To solve the equation \( x + 6 = -3x - 30 \), follow these steps:

1. **Add \( 3x \) to both sides** to eliminate the \( -3x \) term on the right side:
   \[
   x + 3x + 6 = -3x + 3x - 30
   \]
   \[
   4x + 6 = -30
   \]

2. **Subtract 6 from both sides** to isolate the term with \( x \):
   \[
   4x + 6 - 6 = -30 - 6
   \]
   \[
   4x = -36
   \]

3. **Divide both sides by 4** to solve for \( x \):
   \[
   \frac{4x}{4} = \frac{-36}{4}
   \]
   \[
   x = -9
   \]

The solution is \( x = -9 \).

Would you like more details on any step or have any other questions?

Here are 5 related questions for further practice:
1. Solve \( 2x - 5 = 3x + 7 \).
2. Solve \( -4x + 10 = 2x - 8 \).
3. Solve \( 5x + 15 = 0 \).
4. Solve \( 3(x + 4) = 9x - 6 \).
5. Solve \( x + 2 = \frac{3x}{2} - 1 \).

**Tip:** When solving linear equations, aim to combine like terms and move all variables to one side of the equation as your first steps.

Learn how to solve the linear equation x + 6 = -3x - 30 with a detailed step-by-step solution. This problem involves basic algebraic concepts, including combining like terms and applying 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