Sure, let's solve the given equation step by step:
The given equation is:
[tex]\[ 8t + 5 = 6t + 1 \][/tex]
1. First, we want to get all terms involving [tex]\( t \)[/tex] on one side of the equation. To do this, we subtract [tex]\( 6t \)[/tex] from both sides:
[tex]\[ 8t - 6t + 5 = 1 \][/tex]
[tex]\[ 2t + 5 = 1 \][/tex]
2. Next, we want to isolate the term with [tex]\( t \)[/tex]. We do this by subtracting 5 from both sides:
[tex]\[ 2t + 5 - 5 = 1 - 5 \][/tex]
[tex]\[ 2t = -4 \][/tex]
3. Lastly, to solve for [tex]\( t \)[/tex], we divide both sides by 2:
[tex]\[ t = \frac{-4}{2} \][/tex]
[tex]\[ t = -2 \][/tex]
Therefore, the solution to the equation [tex]\( 8t + 5 = 6t + 1 \)[/tex] is [tex]\(\boxed{t = -2}\)[/tex].
The correct option among the given choices is:
B) [tex]\( t = -2 \)[/tex].
