# How do you solve #(5x+6)/5 = (4x+10)/3#?

##### 1 Answer

Oct 18, 2015

#### Explanation:

Your goal here is to isolate

To do that, start by finding the *common denominator* of the two fractions.

In this case, the *least common multiple* of

#(5x+6)/5 * 3/3 = (4x+10)/3 * 5/5#

#(3(5x+6))/15 = (5(4x+10))/15#

At this point, you know that the equation comes down to

#3 * (5x+6) = 5 * (4x + 10)#

Expand the parantheses and isolate

#15x + 18 = 20x + 50#

#15x - 20x = 50 - 18#

#-5x = 32 implies x= color(green)(-32/5)#