Question

1/2(6g+2)=12

Answer 1

To solve the equation \( \frac{1}{2}(6g + 2) = 12 \), follow these steps:

1. **Eliminate the fraction**: Multiply both sides of the equation by 2 to get rid of the fraction.
\[
2 \cdot \frac{1}{2}(6g + 2) = 2 \cdot 12
\]
This simplifies to:
\[
6g + 2 = 24
\]

2. **Isolate the term with \( g \)**: Subtract 2 from both sides.
\[
6g + 2 - 2 = 24 - 2
\]
This simplifies to:
\[
6g = 22
\]

3. **Solve for \( g \)**: Divide both sides by 6.
\[
g = \frac{22}{6}
\]
Simplifying \( \frac{22}{6} \) gives:
\[
g = \frac{11}{3}
\]

Therefore, the solution is \( g = \frac{11}{3} \).