Question

If 2 left parenthesis x minus 2 right parenthesis equals negative 15​, then x​ = ?
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Part 1
A.negative StartFraction 19 Over 2 EndFraction
negative StartFraction 19 Over 2 EndFraction
B.negative StartFraction 13 Over 2 EndFraction
negative StartFraction 13 Over 2 EndFraction
C.negative StartFraction 11 Over 2 EndFraction
negative StartFraction 11 Over 2 EndFraction
D.negative StartFraction 17 Over 2 EndFraction
negative StartFraction 17 Over 2 EndFraction
E.negative StartFraction 15 Over 2 EndFraction
negative StartFraction 15 Over 2 EndFraction

Answer 1

To solve the equation \( 2(x - 2) = -15 \), we can start by dividing both sides by 2:

\[
x - 2 = -\frac{15}{2}
\]

Next, we add 2 to both sides. Note that 2 can be expressed as \(\frac{4}{2}\):

\[
x = -\frac{15}{2} + \frac{4}{2} = -\frac{15 - 4}{2} = -\frac{11}{2}
\]

So, the solution is:

\[
x = -\frac{11}{2}
\]

This corresponds to option C:

**C. \( -\frac{11}{2} \)**.