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Simplify the expression.

2(3x+4)−3(2x−2)+8(x−5)


(1 point)
Responses

20x−26
20 x minus 26

8x−38
8 x minus 38

8x−26
8 x minus 26

20x+54
20 x plus 54

1 answer

To simplify the expression \(2(3x+4)−3(2x−2)+8(x−5)\), we will distribute and combine like terms step by step:

  1. Distributing: \[ 2(3x + 4) = 6x + 8 \] \[ -3(2x - 2) = -6x + 6 \] \[ 8(x - 5) = 8x - 40 \]

  2. Now, substituting these back into the expression: \[ 6x + 8 - 6x + 6 + 8x - 40 \]

  3. Combining like terms:

    • Combine all \(x\) terms: \[ 6x - 6x + 8x = 8x \]
    • Combine all constant terms: \[ 8 + 6 - 40 = 14 - 40 = -26 \]

  4. Hence, the simplified expression is: \[ 8x - 26 \]

The correct answer is:

8x−26