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If 2 x minus 3 left parenthesis x plus 4 right parenthesis equals negative 21​, then x​ =

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Part 1
A.negative 33
negative 33
B.negative 9
negative 9
C.33
33
D.9
9

1 answer

To solve the equation \( 2x - 3(x + 4) = -21 \), let's start by simplifying the left side.

  1. Distribute \(-3\) in the expression: \[ 2x - 3x - 12 = -21 \]

  2. Combine like terms: \[ -x - 12 = -21 \]

  3. Add 12 to both sides to isolate the term with \(x\): \[ -x = -21 + 12 \] \[ -x = -9 \]

  4. Multiply both sides by \(-1\) to solve for \(x\): \[ x = 9 \]

Thus, the solution is \(x = 9\).

The correct answer is D. 9.