Answer :

Certainly! Let's solve the equation step-by-step:

The equation given is:
[tex]\[
-x + 116 = 197
\][/tex]

1. Move the constant term to the other side:

To isolate the term with [tex]\(x\)[/tex], we need to move [tex]\(116\)[/tex] to the right side of the equation by subtracting 116 from both sides:

[tex]\[
-x = 197 - 116
\][/tex]

2. Calculate the right side:

Subtract [tex]\(116\)[/tex] from [tex]\(197\)[/tex]:

[tex]\[
-x = 81
\][/tex]

3. Solve for [tex]\(x\)[/tex]:

Since the equation is [tex]\(-x = 81\)[/tex], we multiply both sides by [tex]\(-1\)[/tex] to solve for [tex]\(x\)[/tex]:

[tex]\[
x = -81
\][/tex]

Therefore, the solution for [tex]\(x\)[/tex] is [tex]\(-81\)[/tex].

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