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Solve for x

: 8x−5=3x+20
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1 answer

To solve the equation \( 8x - 5 = 3x + 20 \), follow these steps:

  1. First, isolate the variable \( x \). Start by subtracting \( 3x \) from both sides:

    \[ 8x - 3x - 5 = 20 \]

    This simplifies to:

    \[ 5x - 5 = 20 \]

  2. Next, add \( 5 \) to both sides of the equation:

    \[ 5x - 5 + 5 = 20 + 5 \]

    This simplifies to:

    \[ 5x = 25 \]

  3. Finally, divide both sides by \( 5 \):

    \[ x = \frac{25}{5} \]

    This results in:

    \[ x = 5 \]

So the solution is \( x = 5 \).