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i need to know all of the steps used to solve this equation...the equation is...

-4(3-x) = 2(x+6)

2006-06-25 15:17:56 · 12 answers · asked by Anonymous in Education & Reference Homework Help

12 answers

-4(3-x) = 2(x+6)
-12+4X=2X+12 use distributive property
-12+4x-2x=2x-2x+12 move the variable x onto 1 side
-12+12+2x=12+12 isolate the variable x
2x=24
(2x/2)=24/2
x=12

Cheater!

2006-06-25 15:28:46 · answer #1 · answered by Anne 2 · 1 0

Multiply out the brackets:

-4(3-x) = 2(x+6)

-4(3-x) = 2x + 12

Transpose sides. Remember when you change sides of the "=" sign, the integer reverse, neg becomes pos etc.

-12 + 4x = 2x + 12

2x = 24

x = 12

insert value of x and solve

-4(3-12) = 2(12+6)
-12+48 = 24 + 12
36 = 36

2006-06-25 15:28:28 · answer #2 · answered by Anonymous · 0 0

The original equation:
  -4 ( 3 - x ) = 2 ( x + 6 )
  -12 + 4x = 2x + 12
Add 12 to both sides:
  4x = 2x + 12 + 12
  4x = 2x + 24
Subtract 2x from both sides:
  4x - 2x = 24
  2x = 24
Divide both sides by 2:
  x = 24 ÷ 2
  x = 12

2006-06-25 20:32:10 · answer #3 · answered by Anonymous · 0 0

-4(3 - x) = 2(x + 6) divide both sides by 2
-2(3 - x) = x + 6 multiply the -2 into (3 -x)
-6 - (-2x) = x + 6
-6 + 2x = x + 6 then it's easy
2x = x + 12
x = 12

2006-06-25 15:23:25 · answer #4 · answered by dalinar7 1 · 0 0

It should be: -12 + 4x = 2x + 12
4x -2x =12 + 12
2x = 24
x = 24/2
x = 12!

2006-06-25 15:23:20 · answer #5 · answered by evabree 1 · 0 0

-4(3-x) = 2(x+6)
-2(3-x) = x+6
-6+2x = x+6
2x-x = 6+6
x=12

I forgot the minus and got it wrong at first, sorry for confusion

2006-06-25 15:20:40 · answer #6 · answered by Anonymous · 0 0

-4(3-x)=2(x+6)
-12- -4x= 2x+12
-12-12- -4x= 2x+12 - 12
-24--4x = 2x
-24 = 6x
-4 = x

2006-06-25 15:26:16 · answer #7 · answered by Mystic 2 · 0 0

-12+4x=2x+12
4x-2x=12+12
2x=24
x=12

**negative times negative =positive

2006-06-25 15:20:53 · answer #8 · answered by Anonymous · 0 0

-4(3-x)=2(x+6)
-12+4x=2x+12
2x=24
x=12

2006-06-25 23:08:27 · answer #9 · answered by :) 3 · 0 0

ah math the one subject i don''t get ask me about english next time will ya

2006-06-25 15:44:17 · answer #10 · answered by Anonymous · 0 0

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