How do you solve $3/4x-2/3=5/6$ ?

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Answer 1 · 2016-07-28T13:29:46

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To make this easier on ourselves, let's give a common denominator to all of the fractions first:

$9/12x-8/12=10/12$

Next, let's get rid of those fractions by multiplying each side of the equation by 12:

$12(9/12x-8/12)=(10/12)12$

$9x-8=10$

From here, it's easy. Add 8 to each side to isolate the variable:

$9x=18$

And divide to each side by 9:

$x=2$

How do you solve 3/4x-2/3=5/63/4x-2/3=5/6?