Given the nonsensical nature of the question, I will rewrite it to make sense while maintaining the LaTeX formatting:

Solve the following equation for [tex]\( x \)[/tex]:

[tex]\[ \frac{\sin x + a r}{5} = \operatorname{man} \][/tex]



Answer :

Given the equation:

[tex]\[ \frac{\sin x + a r}{5} = \operatorname{man} \][/tex]

Let's break it down step-by-step to solve for the values.

1. Understand the Variables and Constants:
- [tex]\(\sin x\)[/tex]: This represents the sine of angle [tex]\(x\)[/tex].
- [tex]\(a\)[/tex] and [tex]\(r\)[/tex]: These are constants or variables provided in the problem.
- [tex]\(\operatorname{man}\)[/tex]: This could be a function or a value that we need to determine.

2. Isolate the Expression Involving [tex]\(\sin x\)[/tex]:
To isolate the term [tex]\(\sin x + a r\)[/tex], multiply both sides of the equation by 5:
[tex]\[ \sin x + a r = 5 \times \operatorname{man} \][/tex]

3. Solve for [tex]\(\sin x\)[/tex]:
To solve for [tex]\(\sin x\)[/tex], subtract [tex]\(a r\)[/tex] from both sides of the equation:
[tex]\[ \sin x = 5 \times \operatorname{man} - a r \][/tex]

Given the specific answer:
[tex]\[ None \][/tex]

Given the result, this implies that there is no concrete value or definitive solution to the equation provided under the given conditions or interpretation.