Question

100 POINTS+BRAINLIEST 8TH GRADE MATH PT 6: SIMPLIFY THE GIVEN EXPRESSION -I know how to do the distributive property but i don't know the rules to remember when dealing with rearranging subtraction sings like the one in the first set of parenthesis. please tell me how to accurately simplify an expression with those subtraction signs
thanks so much!!

Answer 1

Answer:

$-x + 9$

Step-by-step explanation:

Hello!

We want to combine any like terms and distribute the signs properly to the terms in the parentheses.

First, remove the parentheses by distributing the signs:

• $-(2x - 1) + 3(x + 4) - 2(x + 2)$
• $-(2x) - (-1) + 3(x) + 3(4) - 2(x) - 2(2)$
  
  Remember that negative times negative is positive
  
• $-2x + 1 + 3x + 12 - 2x - 4$
• $-2x + 3x - 2x + 1 + 12 - 4$
• $-x + 9$

The simplified form is $-x + 9$.

Another way to think about the negative sign is by replacing it with -1, so essentially you are multiplying the whole parentheses by -1.

Answer 2

• -(2x-1)+3(x+4)-2(x+2)
• -2x+1+3x+12-2x-4
• -4x+3x+1+8
• -x+9

Option D