Solve the equation to find the value of g. You can solve below, or solve on paper and then enter your answer on Zearn.

Question

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 \( 4 \).