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Select the expression that is equal to

(-3x+10) - (4x-8)

Group of answer choices

7x-18

-7x-2

x+18

-7x+18

1 answer

To simplify the expression \((-3x + 10) - (4x - 8)\), we can follow these steps:

  1. Distribute the negative sign across the second set of parentheses: \[ (-3x + 10) - (4x - 8) = -3x + 10 - 4x + 8 \]

  2. Combine like terms:

    • Combine the \(x\) terms: \(-3x - 4x = -7x\)
    • Combine the constant terms: \(10 + 8 = 18\)

Putting it all together, we have: \[ -7x + 18 \]

Thus, the expression \((-3x + 10) - (4x - 8)\) simplifies to \(-7x + 18\).

Therefore, the correct answer is: -7x + 18