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What is the correct answer? Show each step using inverse operations to solve for x

5x + 7.5 = 25

1 answer

To solve the equation \(5x + 7.5 = 25\) using inverse operations, we will follow these steps:

  1. Subtract 7.5 from both sides:
    This will isolate the term with \(x\).

    \[ 5x + 7.5 - 7.5 = 25 - 7.5 \] Simplifying both sides, we get:

    \[ 5x = 17.5 \]

  2. Divide both sides by 5:
    This will solve for \(x\).

    \[ \frac{5x}{5} = \frac{17.5}{5} \] Simplifying, we find:

    \[ x = 3.5 \]

So, the solution to the equation \(5x + 7.5 = 25\) is \(x = 3.5\).