Sure, let's solve the equation step-by-step.
Given the equation:
[tex]\[ 3x - 8 = 16 \][/tex]
First, isolate the term containing the variable [tex]\( x \)[/tex] on one side of the equation. To do this, add 8 to both sides of the equation:
[tex]\[ 3x - 8 + 8 = 16 + 8 \][/tex]
This simplifies to:
[tex]\[ 3x = 24 \][/tex]
Next, solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 3:
[tex]\[ x = \frac{24}{3} \][/tex]
Simplify the division:
[tex]\[ x = 8 \][/tex]
So, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( 3x - 8 = 16 \)[/tex] is:
[tex]\[ x = 8 \][/tex]