Question 161313
3/4x - 5 = 2/3x


To solve this problem let's find the lowest common denominator of the fractions...



The denominators are 4 and 3...meaning the lowest common denominator is 12...we find that by multiplying those two numbers together...



So since we multiplied the 4 and 3 in the denominators to get 12 we must do the same operation to the numerators...



For 3/4...we multiplied the 4 by 3 so we must multiply the 3 by 3...the new fraction is 9/12.



For 2/3...we multiplied the 3 by 4 so we must multiply the 2 by 4...the new fraction is 8/12...


So our new equation is:


9/12x - 5 = 8/12x



Subtract 8/12x from both sides...


9/12x - 8/12x - 5 = 0



Add 5 to both sides...


1/12x -5 + 5 = 0 + 5
1/12x = 5


Now multiply by 12 on both sides to get x by itself...

x = 5 * 12

x = 60

:)