Question

Solve the equation to find the value of g. You can solve below, or solve on paper and then enter your answer on Zearn.
10−5g
=
2−3g

g
=

Answer 1

To solve the equation \( 10 - 5g = 2 - 3g \), we can follow these steps:

1. Start with the original equation:
\[
10 - 5g = 2 - 3g
\]

2. Get all terms involving \( g \) on one side and the constant terms on the other side. Add \( 5g \) to both sides:
\[
10 = 2 - 3g + 5g
\]
This simplifies to:
\[
10 = 2 + 2g
\]

3. Subtract 2 from both sides to isolate the term with \( g \):
\[
10 - 2 = 2g
\]
Simplifying gives:
\[
8 = 2g
\]

4. Finally, divide both sides by 2 to solve for \( g \):
\[
g = \frac{8}{2} = 4
\]

Thus, the value of \( g \) is \( 4 \).