# How do you solve #20/x=-5/2#?

##### 2 Answers

#### Explanation:

First, you need to multiply each side by a common denominator to eliminate the fractions and keep the equation balanced. In this case the common denominator is

Now we can solve for

#### Explanation:

When we have a fraction equal to another fraction, we can solve using the method of

#color(blue)"cross-multiplication"# The negative sign on the right side must be attached to either the 5 or the 2 but NOT BOTH. as this would give a positive result. I'm attaching it to the 2.

#rArrcolor(blue)(20)/color(red)(x)=color(red)(5)/color(blue)(-2)# To cross-multiply, multiply the terms in

#color(red)"red"# and the terms in#color(blue)"blue"# and equate them.

#rArrcolor(red)(5x)=(color(blue)(20)xxcolor(blue)(-2))#

#rArr5x=-40# To solve for x, divide both sides by 5

#(cancel(5) x)/cancel(5)=(-40)/5#

#rArrx=-8" is the solution"#