Simplify the expression.

6(3x−5)+2(3x−5)−8(2x−5)

(1 point)
Responses

8x

24x−40

36x−60

48x−80

1 answer

To simplify the expression \(6(3x−5)+2(3x−5)−8(2x−5)\), we will start by distributing each term.

  1. Distribute \(6\) and \(2\) into \(3x - 5\): \[ 6(3x - 5) = 18x - 30 \] \[ 2(3x - 5) = 6x - 10 \]

  2. Distribute \(-8\) into \(2x - 5\): \[ -8(2x - 5) = -16x + 40 \]

  3. Now, combine all the simplified expressions: \[ 18x - 30 + 6x - 10 - 16x + 40 \]

  4. Combine like terms (the \(x\) terms and the constant terms):

    • For the \(x\) terms: \[ 18x + 6x - 16x = (18 + 6 - 16)x = 8x \]
    • For the constant terms: \[ -30 - 10 + 40 = -30 - 10 + 40 = 0 \]
  5. Therefore, the entire expression simplifies to: \[ 8x + 0 = 8x \]

So, the simplified expression is \( \boxed{8x} \).

Similar Questions
  1. Find the missing side length.(1 point) Responses 25.8 25.8 14.7 14.7 13.4 13.4 6 6 Question 2 Simplify the radical expression.
    1. answers icon 1 answer
  2. To simplify this expression, 6x^4⋅3x^2which would be the correct steps?(1 point) Responses Add 6 + 3 for the numbers; then
    1. answers icon 1 answer
  3. Simplify the expression4a + 2b - 2a + 9 * 8b + 9 6a + 11b 2a + 11b 2a + 2b + 9 Simplify the expression: 10 × 2 × (3 + 4 × 2)
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions