# How do you solve 4/3x-1/12=x+3/4?

Nov 28, 2016

$x = \frac{5}{2} \mathmr{and} 2.5$

#### Explanation:

First, we take all the variable terms(terms having $x$) to one side and constants to the other.
$\frac{4}{3} x - x = \frac{3}{4} + \frac{1}{12}$
Then, we give the whole equation a common denominator, which can be 12 in this case.
$\frac{4 \times 4}{3 \times 4} x - \frac{x \times 12}{1 \times 12} = \frac{3 \times 3}{4 \times 3} + \frac{1}{12}$
$\frac{16}{12} x - \frac{12}{12} x = \frac{9}{12} + \frac{1}{12}$
$16 x - 12 x = 9 + 1$
$4 x = 10$
$x = \frac{10}{4} = \frac{5}{2}$