one fourth left parenthesis 2 x plus 1 right parenthesis equals 26

Answer 1

To solve the equation \(\frac{1}{4}(2x + 1) = 26\), we can follow these steps:

1. Eliminate the fraction by multiplying both sides of the equation by 4:

   \[ 4 \cdot \frac{1}{4}(2x + 1) = 4 \cdot 26 \]

   This simplifies to:

   \[ 2x + 1 = 104 \]

2. Subtract 1 from both sides:

   \[ 2x + 1 - 1 = 104 - 1 \]

   This simplifies to:

   \[ 2x = 103 \]

3. Divide both sides by 2:

   \[ x = \frac{103}{2} = 51.5 \]

So, the solution to the equation is: \[ \boxed{51.5} \]