Question

If 2 left parenthesis x minus 3 right parenthesis equals negative 11​, then x​ = ?
Question content area bottom
Part 1
A.negative 4
negative 4
B.negative StartFraction 11 Over 2 EndFraction
negative StartFraction 11 Over 2 EndFraction
C.negative 7
negative 7
D.negative StartFraction 17 Over 2 EndFraction
negative StartFraction 17 Over 2 EndFraction
E.negative five halves
negative five halves

Answer 1

To solve the equation \( 2(x - 3) = -11 \), follow these steps:

1. Start by distributing the 2 on the left side:
\[
2x - 6 = -11
\]

2. Next, add 6 to both sides of the equation:
\[
2x - 6 + 6 = -11 + 6 \implies 2x = -5
\]

3. Finally, divide both sides by 2 to solve for \( x \):
\[
x = \frac{-5}{2}
\]

Thus, \( x = -\frac{5}{2} \).

Looking at the choices, the answer corresponds to:

**E. negative five halves**.