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Solve this equation: 9x - 7 = 2x + 56

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To solve the equation \( 9x - 7 = 2x + 56 \), follow these steps:

  1. Isolate the variable terms on one side: Begin by subtracting \( 2x \) from both sides of the equation.

    \[ 9x - 2x - 7 = 56 \]

    This simplifies to:

    \[ 7x - 7 = 56 \]

  2. Eliminate the constant on the side with the variable: Next, add \( 7 \) to both sides of the equation.

    \[ 7x - 7 + 7 = 56 + 7 \]

    This simplifies to:

    \[ 7x = 63 \]

  3. Solve for \( x \): Finally, divide both sides by \( 7 \).

    \[ x = \frac{63}{7} \]

    Simplifying gives:

    \[ x = 9 \]

So, the solution to the equation \( 9x - 7 = 2x + 56 \) is \( x = 9 \).