What is the answer to 1/3 (24x -6) - (7x-1)?

Answer 1

To simplify the expression \( \frac{1}{3}(24x - 6) - (7x - 1) \), we can follow these steps:

1. Distribute \( \frac{1}{3} \) into \( 24x - 6 \): \[ = \frac{1}{3} \cdot 24x - \frac{1}{3} \cdot 6 = 8x - 2 \]

2. Now, substitute back into the expression: \[ = (8x - 2) - (7x - 1) \]

3. Distribute the negative sign in the second part: \[ = 8x - 2 - 7x + 1 \]

4. Combine like terms: \[ = (8x - 7x) + (-2 + 1) = 1x - 1 \]

Thus, the simplified expression is: \[ x - 1 \]