How do you solve #32 - 2(11 - 8)2 = 36x#?

1 Answer
Mar 14, 2018

Use the Order of Operations to simplify!

Explanation:

Start by thinking about the Order of Operations:

Parenthesis
Exponents
Multiplication & Division
Addition & Subtraction

This will allow us to simplify before we start the algebra

#32-2(11-8)*2=36x#

Start with parenthesis

#32-2(3)*2=36x#

We have no exponents

Move to Multiplication & Division in the order they appear

#32-6*2=36x#

#32-12=36x#

Now let's do the Addition & Subtraction in the order they appear

#20=36x#

The equation looks much simpler now!

To solve for #x#, divide both sides by #36# to isolate #x#

#20/36=cancel36x/cancel36#

#5/9=x#