# How do you solve 36-4d=4(9-d)?

Aug 16, 2016

$x$ has any value.

#### Explanation:

$36 - 4 d = 4 \left(9 - d\right)$

Solve as usual - remove the brackets.

$36 - 4 d = 36 - 4 d \text{ ???? both sides are the same}$

Continue anyway...move variables to one side and constants to the other.....

$4 d - 4 d = 36 - 36$

$0 = 0$

We have ended up with a true statement, but there is no $x$ term to solve for??

This is an indication that we are working with a special kind of equation called an IDENTITY.

An identity is true for any value of $x$

The answer will be: $x$ has any value.