What is the value of x in the equation below?

             −6x + 9 = 33


To find the value of \( x \) in the equation:

\[
-6x + 9 = 33
\]

### Step-by-step solution:

1. **Subtract 9 from both sides** to isolate the term with \( x \) on one side:

\[
-6x + 9 - 9 = 33 - 9
\]
\[
-6x = 24
\]

2. **Divide both sides by -6** to solve for \( x \):

\[
x = \frac{24}{-6}
\]
\[
x = -4
\]

So, the value of \( x \) is:

\[
x = -4
\]

Would you like further details or have any other questions?

Here are 5 related questions to deepen your understanding:

1. What would happen if the constant on the right-hand side of the equation was 40 instead of 33?
2. How do you solve a similar equation if it had decimals, such as \( -6.5x + 9 = 33 \)?
3. Can you explain how to solve an equation with a positive coefficient of \( x \), such as \( 6x + 9 = 33 \)?
4. How would the solution change if the sign of \( x \) was already positive, such as \( 6x + 9 = 33 \)?
5. What if there were fractions involved, such as \( -\frac{6}{5}x + 9 = 33 \)?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality!

What is the value of x in the equation below? −6x + 9 = 33

Learn how to solve the linear equation −6x + 9 = 33 with a detailed step-by-step solution. This problem covers key algebraic concepts, including isolating variables and applying the principle 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