Question

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

Answer 1

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**.