Question

2|x+7|-4=-1|x+7|+5

I know the answers are
x = -4
x = -10

How do I properly plug this back into the absolute value problem?

Answer 1

I had re-wrote the problem as.. 2(-4+7)-4 = -1(-10+7)+5

Answer 2

hint : |-a|=a

Answer 3

Okay so I should write it as.. 2(4+7)-4 = -1(10+7)+5 ?

Answer 4

|-4+7|= |-3| = ?

Answer 5

But when I plug in 'x' do I plug in both of them or just one for each 'x' in the equation?

Answer 6

2|-4+7|-4 = -1|-4+7|+5

Answer 7

yes, so what is |-4+7|
do i t one by one

Answer 8

plug just one for each 'x' in the equation

Answer 9

2|3|-4 = -1|3|+5

?

Answer 10

yes, go ahead .

Answer 11

2-4?
-2|3|

?
-1 + 5 = -4
-4|3|

-2|3|=-4|3|

Answer 12

When do the absolute value signs disappear?

Answer 13

|a|=a
|-a|=a

Answer 14

-2|3|=-4|3|
-2(3)= -4(3)

Answer 15

-6 = -12
?
But they don't equal each other? Shouldn't they equal each other?

Answer 16

then x=-4 is not the solution to this

Answer 17

wait, it is

Answer 18

2|x+7|-4=-1|x+7|+5
2(3)-4 = -(3)+5
2=2

Answer 19

got that ^ ?

Answer 20

Yes thanks @hartnn

Answer 21

welcome ^_^
any more doubts ?

Answer 22

nope