Question

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

Solve for x.

Answer 1

Hi there!

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I believe your answer is:

`x = 5`

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Here’s why:

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`\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 (2x=10)/(2)\\\\\rightarrow \boxed{x = 5}`

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

Answer 2

`x = 5`

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`