# How do you solve 5 1/2x+2/3x=37?

Nov 14, 2016

$x = 6$

#### Explanation:

Treat it as a normal equation - except that you have to add fractions as coefficients rather than integers.

Improper fractions will probably be best for adding because later you can cross multiply.

$5 \frac{1}{2} x + \frac{2}{3} x = 37$

$\frac{11}{2} x + \frac{2}{3} x = 37$

$\frac{33 x + 4 x}{6} = 37$

$\frac{37 x}{6} = \frac{37}{1} \text{ } \leftarrow$ cross-multiply

$37 x = 6 \times 37$

$x = \frac{6 \times 37}{37}$

$x = 6$