Question

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

Answer 1

(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

• Infinite Number of Solutions : brainly.com/question/5450548
• System of Equations : brainly.com/question/1995493
• System of Linear equations : brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

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

Answer 2

Answer:

(2x - 4) - (6x + 6)= 2x - 4 - 6x – 6= 2x – 6x – 4 – 6= -4x – 10= -2(2x + 5)

Answer: -2(2x + 5)2.

Simplify:(8+4x)/4x

Solution:

(8+4x)/4x= 4(2 + x)/4x= (2 + x)/x

Cancel 4 from the numerator and denominator

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