Question

$4x+2=2(x+6)$

Solve for x.

Answer 1

Answer:

$x = 5$

Step-by-step explanation:

Step 1:  Distribute

$4x + 2 = 2(x + 6)$

$4x + 2 = (2 * x) + (2 * 6)$

$4x + 2 = 2x + 12$

Step 2:  Subtract 2 from both sides

$4x + 2 - 2 = 2x + 12 - 2$

$4x = 2x + 10$

Step 3:  Subtract 2x from both sides

$4x - 2x = 2x - 2x + 10$

$2x = 10$

Step 4:  Divide both sides by 2

$2x / 2 = 10 / 2$

$x = 5$

Answer:  $x = 5$

Answer 2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$x = 5$

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

$\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}$

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.