Certainly! Let's rearrange the equation [tex]\( x = 3g + 2 \)[/tex] to make [tex]\( g \)[/tex] the subject. Here’s a detailed step-by-step solution:
1. Start with the given equation:
[tex]\[
x = 3g + 2
\][/tex]
2. Isolate the term involving [tex]\( g \)[/tex]:
To do this, we first need to eliminate the constant term on the right-hand side. We subtract 2 from both sides of the equation:
[tex]\[
x - 2 = 3g
\][/tex]
3. Solve for [tex]\( g \)[/tex]:
Now, we need to isolate [tex]\( g \)[/tex] completely by getting rid of the coefficient 3 that is multiplying [tex]\( g \)[/tex]. We do this by dividing both sides of the equation by 3:
[tex]\[
\frac{x - 2}{3} = g
\][/tex]
4. Rearranged equation:
Finally, we can express [tex]\( g \)[/tex] explicitly as the subject:
[tex]\[
g = \frac{x - 2}{3}
\][/tex]
So, the rearranged equation with [tex]\( g \)[/tex] as the subject is:
[tex]\[
g = \frac{x - 2}{3}
\][/tex]
