SOLUTION: I don't understand fractional equations for example: 2x-1 over 3 - 3-x over 2 =x over 4

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Question 58710: I don't understand fractional equations for example:
2x-1 over 3 - 3-x over 2 =x over 4
Found 2 solutions by Earlsdon, ash:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To solve fractional equations, it helps to "clear" the fractions. This means that you should turn the fractions into integers (whole numbers).
You can do this by multiplying the fractions by their lowest common denominator (LCD).
Let's look at your equation:
2x+-+1%2F3+-+3+-+x%2F2+=+x%2F4 The LCD of 1/2, 1/3, and 1/4 is 12, so we'll multiply both sides of the equation by 12:
12%282x+-+1%2F3+-+3+-+x%2F2%29+=+12%28x%2F4%29 = 24x+-+4+-+36+-+6x+=+3x Now simplify this.
%2824x-6x%29+-+4+-+36+=+3x
18x+-+40+=+3x Add 40 to both sides.
18x+=+3x+%2B+40 Subtract 3x from both sides.
15x+=+40 Divide both sides by 15.
x+=+40%2F15 Simplify.
x+=+8%2F3
Check the solution:
2x+-+1%2F3+-+3+-+x%2F2+=+x%2F4 Substitute x+=+8%2F3
2%288%2F3%29+-+1%2F3+-+3+-+%288%2F3%29%2F2+=+%288%2F3%29%2F4 Simplifying this, we get:
16%2F3+-+1%2F3+-+9%2F3+-+4%2F3+=+2%2F3
16%2F3+-+14%2F2+=+2%2F3
2%2F3+=+2%2F3 OK

Answer by ash(1) About Me  (Show Source):