Solve for x

Question

: 5x+2=3x−20
.(1 point)

Answer 1

To solve for \( x \) in the equation \( 5x + 2 = 3x - 20 \), follow these steps:

1. Subtract \( 3x \) from both sides:

   \[ 5x - 3x + 2 = -20 \]

   This simplifies to:

   \[ 2x + 2 = -20 \]

2. Next, subtract \( 2 \) from both sides:

   \[ 2x = -20 - 2 \]

   This simplifies to:

   \[ 2x = -22 \]

3. Finally, divide both sides by \( 2 \):

   \[ x = \frac{-22}{2} \]

   This gives:

   \[ x = -11 \]

So the solution is \( x = -11 \).