Answer :

To solve the given equation, we have the following steps:

1. Start with the equation [tex]\(14x = 182\)[/tex].

2. To find the value of [tex]\(x\)[/tex], we need to isolate it. Do this by dividing both sides of the equation by 14:

[tex]\[
x = \frac{182}{14}
\][/tex]

3. Calculate the division:

[tex]\[
x = 13
\][/tex]

4. Now, we are asked to find the value of [tex]\(4x - 2\)[/tex]. Substitute [tex]\(x = 13\)[/tex] into this expression:

[tex]\[
4x - 2 = 4(13) - 2
\][/tex]

5. Multiply:

[tex]\[
4 \times 13 = 52
\][/tex]

6. Subtract 2 from 52:

[tex]\[
52 - 2 = 50
\][/tex]

So, the value of [tex]\(4x - 2\)[/tex] is 50.

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