To simplify the expression \( 6(x-3)-(5-2x) \), follow these steps: 1. Distribute the \( 6 \) and the negative sign: \[ 6(x-3) = 6x - 18 \] \[ -(5 - 2x) = -5 + 2x \] 2. Now, combine the two results: \[ 6x - 18 - 5 + 2x \] 3. Combine like terms: - For the \( x \) terms: \( 6x + 2x = 8x \) - For the constant terms: \( -18 - 5 = -23 \) So, the simplified expression is: \[ 8x - 23 \]

6(x-3)-(5-2x)

1 answer

To simplify the expression \( 6(x-3)-(5-2x) \), follow these steps:

Distribute the \( 6 \) and the negative sign: \[ 6(x-3) = 6x - 18 \] \[ -(5 - 2x) = -5 + 2x \]
Now, combine the two results: \[ 6x - 18 - 5 + 2x \]
Combine like terms:
- For the \( x \) terms: \( 6x + 2x = 8x \)
- For the constant terms: \( -18 - 5 = -23 \)

So, the simplified expression is: \[ 8x - 23 \]