Question

Solve for \( x \) in the equation \( \frac{2x - 3}{4} = 5 \).

• A. \( x = 13 \)
• B. \( x = 14 \)
• C. \( x = 15 \)
• D. \( x = 16 \)

Hint:

Remember: To solve equations with fractions, multiply both sides by the denominator to eliminate the fraction.

Answer 1

The Correct Option is A

Step 1: Eliminate the denominator
We are given: \[ \frac{2x - 3}{4} = 5 \] Multiply both sides by 4 to eliminate the denominator: \[ 2x - 3 = 20 \] Step 2: Solve for \( x \)
Now, add 3 to both sides: \[ 2x = 23 \] Next, divide both sides by 2: \[ x = \frac{23}{2} = 13 \] Answer: Therefore, the solution to the equation is \( x = 13 \). So, the correct answer is option (1).