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:
\[ x = 3.5 \]
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