Let's solve the equation step-by-step.
We start with the given equation:
[tex]\[
8 - 2x = -8x + 14
\][/tex]
Step 1: Simplify both sides of the equation. We want to isolate [tex]\(x\)[/tex].
[tex]\[
8 - 2x = -8x + 14
\][/tex]
Step 2: Add [tex]\(8x\)[/tex] to both sides to get all the [tex]\(x\)[/tex] terms on one side of the equation.
[tex]\[
8 - 2x + 8x = 14
\][/tex]
Simplify the left-hand side:
[tex]\[
8 + 6x = 14
\][/tex]
Step 3: Subtract 8 from both sides to isolate the term with [tex]\(x\)[/tex].
[tex]\[
6x = 14 - 8
\][/tex]
Simplify the right-hand side:
[tex]\[
6x = 6
\][/tex]
Step 4: Divide both sides by 6 to solve for [tex]\(x\)[/tex].
[tex]\[
x = \frac{6}{6}
\][/tex]
Simplify the right-hand side:
[tex]\[
x = 1
\][/tex]
Thus, the solution to the equation is:
[tex]\[
x = 1
\][/tex]
From the provided options, the correct answer is:
[tex]\[
x = 1
\][/tex]
