\boxed{\text{Solve for 'x'.}}\\\\(x+3)/(6)=(2)/(3)

Question

`\boxed{\text{Solve for 'x'.}}\\\\(x+3)/(6)=(2)/(3)`

Answer 1

Hi there!

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I believe your answer is:

`x = 1`

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Here’s why:

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`\boxed{\text{Calculating the answer...}}\\\\(x+3)/(6)=(2)/(3)\\\----------\\\rightarrow ((x+3)/(6))6=((2)/(3))6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}`

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

Answer 2

x = 1

Explanation:

( x + 3 ) / 6 = 2 / 3

Step 1 Cross multiply

( x + 3 ) * 3 = 3x + 9

2 * 6 = 12

We now have 3x + 9 = 12

Step 2 Subtract 9 from both sides

3x + 9 - 9 = 12 - 9

9 - 9 cancels out

12 - 9 = 3

We now have 3x = 3

Final step; divide both sides by 3

3x/3 = x

3/3 = 1

We're left with x = 1

To check our answer we can plug in 1 for x in the expression

( x + 3 ) / 6 = 2 / 3

Substitute 1 for x

1 + 3 / 6 = 2 / 3

Simplify addition

4/6 = 2/3

Simplify fraction

2/3 = 2/3 ✓