Certainly! Let's solve the equation step-by-step to determine the value of [tex]\( x \)[/tex]:
The equation given is:
[tex]\[ 6 - 5x = 16 \][/tex]
1. Isolate the term involving [tex]\( x \)[/tex]:
First, we want to isolate the term with [tex]\( x \)[/tex] on one side of the equation, so we start by subtracting 6 from both sides:
[tex]\[
6 - 5x - 6 = 16 - 6
\][/tex]
2. Simplify both sides:
On the left side, [tex]\( 6 - 6 \)[/tex] simplifies to 0, so we have:
[tex]\[
-5x = 10
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Now, we need to solve for [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-5\)[/tex]:
[tex]\[
-5x / -5 = 10 / -5
\][/tex]
Simplifying this gives:
[tex]\[
x = -2
\][/tex]
From these steps, we find that the solution to the equation [tex]\( 6 - 5x = 16 \)[/tex] is:
[tex]\[
x = -2
\][/tex]
Thus, the correct answer is:
[tex]\[ x = -2 \][/tex]
