Sure, let's solve the equation step-by-step to find the value of [tex]\( d \)[/tex].
We start with the given equation:
[tex]\[ 4d - 4 = 5d - 8 \][/tex]
First, let's isolate the variable [tex]\( d \)[/tex] on one side. We can do this by subtracting [tex]\( 4d \)[/tex] from both sides of the equation:
[tex]\[ 4d - 4 - 4d = 5d - 8 - 4d \][/tex]
This simplifies to:
[tex]\[ -4 = d - 8 \][/tex]
Next, we want to solve for [tex]\( d \)[/tex]. To do this, we need to isolate [tex]\( d \)[/tex] on one side by adding 8 to both sides of the equation:
[tex]\[ -4 + 8 = d - 8 + 8 \][/tex]
This simplifies to:
[tex]\[ 4 = d \][/tex]
So, the value of [tex]\( d \)[/tex] is:
[tex]\[ d = 4 \][/tex]
Therefore, the solution to the equation [tex]\( 4d - 4 = 5d - 8 \)[/tex] is [tex]\( d = 4 \)[/tex].