SOLUTION: Can you please help me solve this equation? 3/4x-5=2/3x

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Question 161313: Can you please help me solve this equation? 3/4x-5=2/3x
Answer by schrammbledeggs(41) (Show Source):
You can put this solution on YOUR website!
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
:)