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

Jul 28, 2016

See explanation

#### Explanation:

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

$\frac{9}{12} x - \frac{8}{12} = \frac{10}{12}$

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

$12 \left(\frac{9}{12} x - \frac{8}{12}\right) = \left(\frac{10}{12}\right) 12$

$9 x - 8 = 10$

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

$9 x = 18$

And divide to each side by 9:

$x = 2$