Let's solve the equation step by step to find the value of [tex]\( x \)[/tex]:
The given equation is:
[tex]\[
10x + 8 = 11x - 6
\][/tex]
### Step 1: Isolate the [tex]\( x \)[/tex]-terms on one side.
First, we want to get all the [tex]\( x \)[/tex]-terms on one side of the equation and the constant terms on the other side.
Subtract [tex]\( 10x \)[/tex] from both sides to move the [tex]\( x \)[/tex]-terms to the right side:
[tex]\[
10x + 8 - 10x = 11x - 6 - 10x
\][/tex]
This simplifies to:
[tex]\[
8 = x - 6
\][/tex]
### Step 2: Isolate [tex]\( x \)[/tex].
Next, we need to isolate [tex]\( x \)[/tex]. We do this by adding 6 to both sides of the equation:
[tex]\[
8 + 6 = x - 6 + 6
\][/tex]
This simplifies to:
[tex]\[
14 = x
\][/tex]
### Step 3: Solution
So, the solution to the equation is:
[tex]\[
x = 14
\][/tex]
The correct answer is:
[tex]\[ \boxed{14} \][/tex]
