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

Mar 14, 2018

Use the Order of Operations to simplify!

Explanation:

Start by thinking about the Order of Operations:

Parenthesis
Exponents
Multiplication & Division

This will allow us to simplify before we start the algebra

$32 - 2 \left(11 - 8\right) \cdot 2 = 36 x$

$32 - 2 \left(3\right) \cdot 2 = 36 x$

We have no exponents

Move to Multiplication & Division in the order they appear

$32 - 6 \cdot 2 = 36 x$

$32 - 12 = 36 x$

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

$20 = 36 x$

The equation looks much simpler now!

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

$\frac{20}{36} = \cancel{36} \frac{x}{\cancel{36}}$

$\frac{5}{9} = x$