To solve the equation \( 42 - 3x = 18 \):

### Step 1: Subtract 42 from both sides to isolate the term with \(x\)
\[
42 - 3x - 42 = 18 - 42
\]
\[
-3x = -24
\]

### Step 2: Divide both sides by \(-3\) to solve for \(x\)
\[
x = \frac{-24}{-3}
\]
\[
x = 8
\]

So, the solution is \( x = 8 \).

Would you like a more detailed explanation, or do you have any questions?

### Related Questions:
1. What happens if the coefficient of \(x\) is positive?
2. How do you solve an equation with fractions involved?
3. Can you explain how to solve inequalities similar to this equation?
4. How do you check the solution for linear equations?
5. What are the steps to solve an equation if \(x\) appears on both sides?

### Tip:
Always check your answer by substituting the value of \(x\) back into the original equation to ensure it satisfies the equation!

Learn how to solve the linear equation 42 - 3x = 18 with a detailed step-by-step solution. This problem introduces key algebraic concepts and the process of isolating the variable x. 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