How would i answer this math problem

3x/2(fraction 3x over 2) = (x+15)
please show work so i can do it myself next time!

3x / 2 = (x+15)
Multiply by 2 on each side
3x = 2(x + 15)
Distribute the 2
3x = 2(x) + 2(15)
3x = 2x + 30
Subtract 2x from each side
x = 30

Check:
3(30) / 2 = (30 + 15)
90 / 2 = 45
45 = 45
Check!

This is how I would answer the problem:↓
3x/2 = (x+15)
(2/1)3x/2 = (x+15) 2/1 ~because it is easier for me I would remove the fraction.(Do it by multiplying both sides of the equation by 2/1 or 2.)↓
3x = 2x + 30 ~ Now Subtract 2x from both sides
-2x -2x
_______ answer↓
x = 30
How to Check your answer:
Plug it in the original equation(or in this ex. in the refined eq. w/o fractions)↓
3(30) = 2(30) +30
90 = 60 + 30
Correct!

First get rid of the denominator by multiplying both sides by 2 3x = 2(x+15) = 2x + 30
Now get all the x's to one side by subtracting 2x from both side 3x - 2x = x = 30
Then check your answer by substituting 30 in place of x in the original equation 90/2 = (30+15) 45=45
Answer is correct!