Asked by HOLAA
one fourth left parenthesis 2 x plus 1 right parenthesis equals 26
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{51.5}
\]
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:
\[
\boxed{51.5}
\]