Question

Solve for $ x $ in the equation $ 2x - 3 = 5x + 12 $.

• A. \( x = -5 \)
• B. \( x = 5 \)
• C. \( x = -6 \)
• D. \( x = 6 \)

Hint:

Remember: To solve linear equations, rearrange terms to isolate the variable on one side.

Answer 1

The Correct Option is C

Step 1: Rearrange the equation
We are given the equation: \[ 2x - 3 = 5x + 12 \] We want to isolate \( x \), so let's first move all terms involving \( x \) to one side. Subtract \( 2x \) from both sides: \[ -3 = 3x + 12 \]
Step 2: Simplify the equation
Next, subtract 12 from both sides: \[ -3 - 12 = 3x \] \[ -15 = 3x \]
Step 3: Solve for \( x \)
Now, divide both sides by 3: \[ x = \frac{-15}{3} = -5 \]
Answer:
Therefore, \( x = -5 \). So, the correct answer is option (3).