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

##### 1 Answer

Jun 5, 2018

#### Explanation:

Given:

#(x-3)/(x-4) = (x-5)/(x+4)#

Multiply both sides by

#(x-3)(x+4) = (x-5)(x-4)#

Multiplying out, this becomes:

#x^2+x-12 = x^2-9x+20#

Adding

#10x = 32#

Dividing both sides by

#x = 32/10 = 16/5#

Note that this value of