1/2x+3=2/3x+1
Your goal is to get all the x's on one side and all the numbers on the other side initially in order to solve for x.
1/2x+3=2/3x+1
subtract 1 from both sides
1/2x+2=2/3x
now you need to find the least common multiple of both denominators and multiply that number by both the numerator and demoninator
The least common multiple of both denominators is 6.
2 goes into 6 3 times, so you have to multiply the 1/2 by 3/3.
3 goes into 6 2 times, so you have to multiply the 2/3 by 2/2.
2=4/6x - 3/6x
2=1/6x
In order to divide the 1/6 fraction, you multiply both sides by its inverse of 6/1.
2(6/1)= 1/6 * 6/1x
12=x
You can check the answer to be sure it's correct.
1/2x+3=2/3x+1
2= 4/6(12) - 3/6(12)
2=8-6
2=2
Hope this helps!! :)
