To solve the equation \( 7x + (-9) = 30 \) for \( x \), follow these steps:

1. **Simplify the equation**: Combine like terms.
   \[
   7x - 9 = 30
   \]

2. **Isolate the term with \( x \)**: Add 9 to both sides of the equation to get rid of the constant on the left side.
   \[
   7x = 30 + 9
   \]
   \[
   7x = 39
   \]

3. **Solve for \( x \)**: Divide both sides of the equation by 7.
   \[
   x = \frac{39}{7}
   \]

So, \( x = \frac{39}{7} \) or approximately \( x \approx 5.57 \).

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Here are 5 related questions for further practice:

1. Solve for \( x \): \( 5x - 4 = 16 \).
2. Solve for \( x \): \( 8x + 12 = 4 \).
3. Solve for \( x \): \( 3x - 7 = 14 \).
4. Solve for \( x \): \( 9x + (-15) = 45 \).
5. Solve for \( x \): \( 2x + 5 = 3x - 4 \).

**Tip:** Always perform the same operation on both sides of the equation to maintain balance.

Learn how to solve the linear equation 7x + (-9) = 30 with a step-by-step solution. This problem demonstrates key algebraic concepts, including isolating the variable and using the addition and division properties of equality. Suitable for students in Grades 6-8.

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