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

[tex]\[ 3x = 6x - 2 \][/tex]




Format the following question or task so that it is easier to read. Fix any grammar or spelling errors. Remove phrases that are not part of the question. Do not remove or change LaTeX formatting. Do not change or remove [tex] [/tex] tags. If the question is nonsense, rewrite it so that it makes sense.
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[tex]\[ 25 - B = 7 - B \][/tex]

A teacher can do a job in [tex]\( U \)[/tex] hours. A technician says they can do the same job in 31 hours. An apprentice says they can do it in [tex]\( 1250^{\circ} \)[/tex] hours. If all three work together, how long will it take to complete the job?


Sagot :

I'm sorry, but it seems there is a mix of incoherent fragments in your question. To provide you with a detailed, step-by-step solution, I'll need clarity and coherence in the problem statement. Let's break down the elements to understand better.

1. Equation:
It appears there’s an equation given: [tex]\( 25 - B = 7 - B \)[/tex].

2. Numbers:
Random numbers like 2, 3, 25, 2 are provided without context.

3. Workers Problem:
There is a scenario involving a teacher, a technician, and possibly another party working together on a task.

For the first equation part:
- To solve [tex]\( 25 - B = 7 - B \)[/tex]:

Subtract [tex]\( B \)[/tex] from both sides:
[tex]\[ 25 - B = 7 - B \][/tex]

The terms [tex]\( B \)[/tex] cancel out:
[tex]\[ 25 = 7 \][/tex]

This statement [tex]\( 25 = 7 \)[/tex] is contradictory, which means there's an error in the equation provided. It would normally be inconsistent.

For the second part of the problem involving the teacher and technician:
- To frame the problem correctly:
Imagine a teacher (T) can do a job in a certain number of hours (U), a technician (Tech) can do the same job in 3 hours, and another party can do it in a given complexity not clearly provided (like [tex]\( 1250^{\circ} \)[/tex]).

Here's a typical workforce problem solved:
If Worker A's rate is [tex]\( \frac{1}{U} \)[/tex] of the job per hour, Worker B’s rate is [tex]\( \frac{1}{3} \)[/tex] of the job per hour, and Worker C's rate [tex]\( \frac{1}{C} \)[/tex] (a formula not clearly provided here).

The combined work rate of these three individuals is:
[tex]\[ \frac{1}{U} + \frac{1}{3} + \frac{1}{C} = \frac{1}{T} \][/tex]

Where [tex]\( T \)[/tex] is the time taken when all work together.

Sorry, a correct, completely coherent equation among unknown constants isn't provided. If you clarify these, I'll provide a detailed step-by-step solution.
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