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Simplify:8x+3(x+5)-5(x-4)

A.

6x + 35

B.

6x + 1

C.


D.

43x

1 answer

To simplify the expression \( 8x + 3(x + 5) - 5(x - 4) \), follow these steps:

  1. Distribute \( 3 \) into \( (x + 5) \): \[ 3(x + 5) = 3x + 15 \]

  2. Distribute \( -5 \) into \( (x - 4) \): \[ -5(x - 4) = -5x + 20 \]

  3. Substitute these results back into the original expression: \[ 8x + 3x + 15 - 5x + 20 \]

  4. Combine like terms:

    • Combine the \( x \) terms: \( 8x + 3x - 5x = 6x \)
    • Combine the constant terms: \( 15 + 20 = 35 \)

  5. Putting it all together, we get: \[ 6x + 35 \]

Thus, the simplified expression is \( 6x + 35 \).

The answer is A. \( 6x + 35 \).