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Describe how to solve the two-step equation: 5x - 6 = 39 and what is your solution?

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To solve the two-step equation \(5x - 6 = 39\), follow these steps:

  1. Add 6 to both sides: The goal is to isolate the term with the variable \(x\). By adding 6 to both sides of the equation, you eliminate the -6.

    \[ 5x - 6 + 6 = 39 + 6 \]

    This simplifies to:

    \[ 5x = 45 \]

  2. Divide by 5: Now, to solve for \(x\), divide both sides of the equation by 5.

    \[ \frac{5x}{5} = \frac{45}{5} \]

    This simplifies to:

    \[ x = 9 \]

So, the solution to the equation \(5x - 6 = 39\) is \(x = 9\).