Simplify 2x 4 6x 6

Asked by maham237 @ in Mathematics viewed by 413 People

Simplify: (2x - 4) - (6x + 6)

Answered by maham237 @


(2x - 4) - (6x + 6) = -2( 2x + 5 )

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

Let us tackle the problem!

(2x - 4) - (6x +6) = 2x - 4 - 6x - 6 ⇒ open parenthesis

(2x - 4) - (6x +6) = 2x - 6x - 4 - 6 ⇒ rearrange term

(2x - 4) - (6x +6) = (2 - 6)x - 10 ⇒ factorize

(2x - 4) - (6x +6) = -4x - 10

\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }

Another Example :

(2x - 4) + (6x +6) = 2x - 4 + 6x + 6 ⇒ open parenthesis

(2x - 4) + (6x +6) = 2x + 6x - 4 + 6 ⇒ rearrange term

(2x - 4) + (6x +6) = (2 + 6)x + 2 ⇒ factorize

(2x - 4) + (6x +6) = 8x + 2

\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point


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