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What is the expression 4+8(3x−2)−7x

when simplified?

1 answer

To simplify the expression \( 4 + 8(3x - 2) - 7x \), we will follow the order of operations.

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

  2. Substitute this back into the expression: \[ 4 + 24x - 16 - 7x \]

  3. Now, combine like terms. Start with the constant terms \( 4 - 16 \): \[ 4 - 16 = -12 \]

  4. Next, combine the \( x \) terms \( 24x - 7x \): \[ 24x - 7x = 17x \]

  5. Putting it all together: \[ -12 + 17x \]

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