Question

Solve for x: 4|2x - 2| + 10 = 34

x = -4, x = 2

x = 4, x = -4

x = 2, x = -2

x = 4, x = -2

Answer 1

start by subtracting 10 from both sides

Answer 2

we are going to use this fact in this problem
\(|a|= b \implies a=b \quad or \quad a =-b\)

Answer 3

-6 |2x-2| = 34

Answer 4

is it A?

Answer 5

not actually
\(4 |2x-2| +10-10 - 34-10 \\ 4|2x-2| = 24\)
did u get this ?

Answer 6

ohh i subtracted it wrong

Answer 7

now divide both sides by 4 :)

Answer 8

1|2x-2| = 6

Answer 9

correct!
so, when |a| = b, we get a=b or a =-b

so here, for
|2x-2| = 6
we get

2x-2 = 6 or 2x-2 = -6

did u get this ?
can you solve these 2 equations ?

Answer 10

so i solve 2x-2=6 and 2x-2=-6

Answer 11

??

Answer 12

yes, can u solve thosE?

start by adding 2 on both sides

Answer 13

so 4x-2=8 and 4x-2=-8

Answer 14

the 2x would remain 2x only
because 2x and 2 are not like terms

Answer 15

2x -2 =6

so
2x-2+2 = 6+2

2x = 8
got this ?

Answer 16

yes

Answer 17

so what does x equal ?

Answer 18

4

Answer 19

so its B?

Answer 20

nopes
for 2x-2 = -6

2x = -6+2 = -4
x= -2

Answer 21

so its D

Answer 22

ohhh ok thanks

Answer 23

welcome ^_^