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

1 answer

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: \[ \boxed{51.5} \]