How do you simplify -8 + 5(g + 2) - 2?

1 Answer
May 20, 2018

5g

Explanation:

PEMDAS

  • P: Parenthesis
  • E: Exponents
  • M: Multiplication
  • D: Division
  • A: Addition
  • S: Subtraction

Above is the order of operations to follow to simplify the expression

-8+5(g+2)-2

First, deal with anything involving parenthesis

As shown, the 5 is being multiplied throughout the set of parenthesis, so distribute the 5 to each term within the parenthesis

5(g+2)

5xxg=5g
5xx2=10

5(g+2)=5g+10

The expression now looks like:

-8+5g+10-2

There are no exponents, multiplication of numbers (5g is a number and a variable being multiplied, it cannot be simplified further), or division in the expression

So the next step is Addition

**-8**+5g **+10**-2

-8+10=2

The expression now looks like:

5g+2-2

And the final operation is Subtraction

5g+**2-2**

2-2=0

The simplified expression is:

5g