Question

Question content area top
Part 1
Solve the equation.
50​(x negative 200​) ​= 100
Question content area bottom
Part 1
A.200
200
B.198
198
C.100
100
D.202
202

Answer 1

To solve the equation \( 50(x - 200) = 100 \), we will follow these steps:

1. **Divide both sides by 50** to simplify the equation:

\[
x - 200 = \frac{100}{50}
\]

This simplifies to:

\[
x - 200 = 2
\]

2. **Add 200 to both sides** to isolate \( x \):

\[
x = 2 + 200
\]

This gives:

\[
x = 202
\]

Therefore, the solution to the equation is \( x = 202 \).

The correct answer is **D. 202**.