Solve for x

: 8x−5=3x+20
.(1 point)

1 answer

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

  1. First, get all terms involving \( x \) on one side of the equation and constant terms on the other. We can subtract \( 3x \) from both sides:

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

    This simplifies to:

    \[ 5x - 5 = 20 \]

  2. Next, add 5 to both sides to isolate the term with \( x \):

    \[ 5x = 20 + 5 \]

    Which simplifies to:

    \[ 5x = 25 \]

  3. Finally, divide both sides by 5 to solve for \( x \):

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

    Thus,

    \[ x = 5 \]

The solution is \( x = 5 \).

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