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

Question

7089 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-14T06:18:22

$x=6$

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.

$5 1/2x +2/3x = 37$

$11/2x+2/3x = 37$

$(33x+4x)/6 = 37$

$(37x)/6=37/1" "larr$ cross-multiply

$37x= 6xx37$

$x= (6xx37)/37$

$x = 6$

How do you solve 5 1/2x+2/3x=375 1/2x+2/3x=37?