Please explain 2x+1/2=2/3​

x= 1/12

Step-by-step explanation:

Hi there!

2x + 1/2= 2/3

You're trying to solve for x. In order to do that you need x by itself. You have to subtract 1/2 from both sides. When you do this you get 2/3 - 1/2. You can't just subtract them, remember, you have to find a common denominator.

2/3

1/2

The common denominator for these two fractions would be 6. to get 2/3 to a denominator of 6, you have to multiply it by 2/2. To get 1/2 to have a denominator of 6, you have to multiply it by 3/3. You then get...

4/6

3/6

Now you can subtract straight across. 4/6-3/6 is equal to 1/6. Ply it back into the equation and you have 2x=1/6. Now you have to divide 2 on both sides. To do this you divide 2x by 2 to get x. Then, you divide 1/6 by two.

Remember when dividing fractions you must flip the second fraction and multiply. What I mean is...

1/6 divided by 2 is the same thing as 1/6 x 1/2. We flipped 2 to get 1/2 and then we multiply straight across. When you do this you get an answer of 1/12.

x=1/12

I really hope this helps! :)

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step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9