# How do you solve #24/(5z+4)=4/(z-1)#?

##### 2 Answers

Aug 30, 2016

#### Explanation:

Given:

#24/(5z+4) = 4/(z-1)#

Multiply both sides by

#24 = (4(5z+4))/(z-1)#

Multiply both sides by

#24(z-1) = 4(5z+4)#

Expand both sides to get:

#24z-24 = 20z+16#

Subtract

#4z-24 = 16#

Add

#4z = 40#

Divide both sides by

#z = 10#

Aug 30, 2016

#### Explanation:

The equation has one fraction on each side of the equal side.

One way to get rid of the denominators is to cross-multiply: