Let's simplify the expression step by step:

\[
12 + 3.4x - 5.4x - x
\]

1. Combine like terms involving \( x \):

\[
3.4x - 5.4x - x = (3.4 - 5.4 - 1)x = -3x
\]

2. Now, substitute this back into the expression:

\[
12 - 3x
\]

So, the simplified expression is:

\[
12 - 3x
\]

Would you like to see the details of any steps? Here are 5 related questions to deepen your understanding:

1. How do you combine like terms in an algebraic expression?
2. Can you simplify \( 4x - 2.5x + 3 - x \)?
3. What happens if \( x = 0 \) in the expression \( 12 - 3x \)?
4. How would this expression change if the constant were different, say \( 15 \) instead of \( 12 \)?
5. How can we use this simplified expression to solve for \( x \) if we know the value of the whole expression?

**Tip**: Always group and simplify like terms first when working with algebraic expressions.

Simplify the linear expression 12 + 3.4x - 5.4x - x using algebraic techniques. This problem focuses on combining like terms and simplifying expressions. Suitable for students in Grades 6-8, with a step-by-step solution provided.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation