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

A.

6x + 35

B.

6x + 1

C.
6x-5

D.

43x

1 answer

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

  1. Distribute the terms:

    • \( 3(x + 5) = 3x + 15 \)
    • \( -5(x - 4) = -5x + 20 \)

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

  3. Combine like terms:

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

  4. Write the final simplified expression: \[ 6x + 35 \]

Thus, the simplified expression is:

A. \(6x + 35\)