Question

What is the correct answer? Show each step using inverse operations to solve for x. (10 pts)
5x + 7.5 = 25

Answer 1

can you make a more of a simplyfied version?

Answer 2

To solve the equation \( 5x + 7.5 = 25 \) for \( x \), we will use inverse operations step by step.

**Step 1: Subtract 7.5 from both sides.**

We need to isolate the term with \( x \). To do this, we subtract \( 7.5 \) from both sides of the equation:

\[
5x + 7.5 - 7.5 = 25 - 7.5
\]

This simplifies to:

\[
5x = 17.5
\]

**Step 2: Divide both sides by 5.**

Now, we want to solve for \( x \). Since \( x \) is multiplied by \( 5 \), we will divide both sides by \( 5 \):

\[
\frac{5x}{5} = \frac{17.5}{5}
\]

This simplifies to:

\[
x = 3.5
\]

**Final Answer:**

The solution to the equation \( 5x + 7.5 = 25 \) is:

\[
x = 3.5
\]

Answer 3

Absolutely! Here’s a simplified version of the solution to the equation \( 5x + 7.5 = 25 \):

**Step 1: Subtract 7.5 from both sides.**

\[
5x + 7.5 - 7.5 = 25 - 7.5
\]

This simplifies to:

\[
5x = 17.5
\]

**Step 2: Divide both sides by 5.**

\[
\frac{5x}{5} = \frac{17.5}{5}
\]

This simplifies to:

\[
x = 3.5
\]

**Final Answer:**

\[
x = 3.5
\]