explain consisly 3x + 2x - 6 = 24

3 answers

To solve the equation \(3x + 2x - 6 = 24\), follow these steps:

  1. Combine like terms on the left side: \[ 3x + 2x = 5x \quad \text{so the equation becomes} \quad 5x - 6 = 24. \]

  2. Add 6 to both sides: \[ 5x - 6 + 6 = 24 + 6 \quad \Rightarrow \quad 5x = 30. \]

  3. Divide each side by 5: \[ x = \frac{30}{5} \quad \Rightarrow \quad x = 6. \]

Thus, the solution to the equation is \(x = 6\).

Huh?

Let me break it down step by step in a simpler way to clarify:

  1. Start with the original equation: \[ 3x + 2x - 6 = 24. \]

  2. Combine the \(x\) terms:

    • Adding \(3x\) and \(2x\) gives you \(5x\): \[ 5x - 6 = 24. \]
  3. Add \(6\) to both sides to isolate \(5x\):

    • This changes the equation to: \[ 5x = 24 + 6. \]
    • Simplifying the right side: \[ 5x = 30. \]
  4. Finally, divide both sides by \(5\) to solve for \(x\): \[ x = \frac{30}{5} = 6. \]

So, the final answer is \(x = 6\). If you have any more questions or need further clarification, feel free to ask!