Algebra
posted by Kara .
2x/3 + 1/4= x/6  1/2 solve for x

You need to bring all the x's to one side and all the numbers to the other:
2x/3 + 1/4= x/6  1/2
2x/3  x/6 = 1/2  1/4
now lets multiply both sides by 3 to get rid of the 3 in the denominator of 2x/3
2x  3x/6 = 3/2  3/4
now 3x/6 can simply down to x/2
2x  x/2 = 3/2  3/4
now notice we still need to get rid of the 2 in the denominator of x/2, so lets multiple everything by 2
4x  x = 6/2  6/4
3x = 3  6/4
Lets get a common denominator on the right side
3x = 12/4  6/4
3x = 18/4
3x = 9/2
divide both sides by 3
x = 9/(2*3)
x = 9/6
x = 3/2 (since both 9 and 6 can be reduced by 3)
Therefore x = 3/2
Hope this helped!
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