-3x-8=3x-8 this equations have one solution

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

Let's solve the equation \(-3x - 8 = 3x - 8\) step by step:

  1. Add \(3x\) to both sides to move all the \(x\) terms to one side:

    \[ -3x + 3x - 8 = 3x + 3x - 8 \]

    This simplifies to:

    \[ -8 = 6x - 8 \]

  2. Add \(8\) to both sides to isolate the \(x\) term:

    \[ -8 + 8 = 6x - 8 + 8 \]

    This simplifies to:

    \[ 0 = 6x \]

  3. Divide both sides by \(6\) to solve for \(x\):

    \[ x = 0 \]

Thus, the equation \(-3x - 8 = 3x - 8\) has one solution, which is \(x = 0\).