Question

The value of x which satisfies the equation 2x-(4-x)=5-x is

• A. 4.5
• B. 3
• C. 2.25
• D. 0.5

Answer 1

The Correct Option is C

To solve the given equation \( 2x - (4 - x) = 5 - x \), we need to simplify and solve for \( x \).

1. Start with the given equation:
\[ 2x - (4 - x) = 5 - x \]

2. Remove the parentheses on the left-hand side:
\[ 2x - 4 + x = 5 - x \]

3. Combine like terms:
Left-hand side: \( 2x + x - 4 = 3x - 4 \)
Right-hand side: \( 5 - x \)

4. Now set the simplified expressions equal:
\[ 3x - 4 = 5 - x \]

5. Move all terms to one side:
Add \( x \) to both sides:
\[ 3x + x - 4 = 5 \Rightarrow 4x - 4 = 5 \]

6. Solve for \( x \):
Add 4 to both sides:
\[ 4x = 9 \Rightarrow x = \frac{9}{4} = 2.25 \]

Final Answer:
Option (C) 2.25 is correct.