What is the value of x if 5x + 13 = 3x + 3?

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To solve the equation 5x + 13 = 3x + 3, we will follow these steps:

  1. Isolate the variable terms: Start by moving the terms that contain x to one side of the equation and the constant terms to the other side. We can subtract 3x from both sides:
    • 5x – 3x + 13 = 3
    • This simplifies to:
    • 2x + 13 = 3
  2. Move the constant to the other side: Next, subtract 13 from both sides of the equation:
    • 2x = 3 – 13
    • This simplifies to:
    • 2x = -10
  3. Solve for x: Now, divide both sides by 2 to isolate x:
    • x = -10 / 2
    • This gives:
    • x = -5

Therefore, the value of x is -5.

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