4+8(3x-2)-7x

1 answer

Let's simplify the expression \( 4 + 8(3x - 2) - 7x \).

  1. Start by distributing the \( 8 \) across the terms in the parentheses: \[ 8(3x - 2) = 24x - 16 \]

  2. Now substitute this back into the expression: \[ 4 + (24x - 16) - 7x \]

  3. Combine like terms:

    • Combine the constant terms: \( 4 - 16 = -12 \)
    • Combine the \( x \) terms: \( 24x - 7x = 17x \)

Putting it all together, we have: \[ 17x - 12 \]

Thus, the simplified expression is: \[ \boxed{17x - 12} \]