MEDAL AND FAN!
Solve for x: 4|2x-2| + 10 =34
A) x=-4, x=2
B) x=4, x=-4
C) x=2, x=-2
D) x=4, x=-2

Question

MEDAL AND FAN!
Solve for x: 4|2x-2| + 10 =34
A) x=-4, x=2
B) x=4, x=-4
C) x=2, x=-2
D) x=4, x=-2

anonymous · Answer

@misty1212  can you help me with this one too?

anonymous · Answer

@SolomonZelman  can you help me?

misty1212 · Answer

$$[2|2x-2|+10=34$$subtract 10 from both sides

misty1212 · Answer

$$4|2x-2|=24$$

misty1212 · Answer

$$8|x-1|=24$$ is good too
then divide by $8$ what do you get?

anonymous · Answer

The absolute value of x-1 = 3

misty1212 · Answer

good 
then you have to solve 
\px-1=3\] and also $$x-1=-3$$ both are by adding one to both sides

misty1212 · Answer

$$x-1=3$$ and 
$$x-1=-3$$

misty1212 · Answer

add one to each side for two answers

anonymous · Answer

so x=4 and x=-2 =3

anonymous · Answer

^_^ Thankies so much @misty1212

misty1212 · Answer

so yes $x=4$ or $x=-2$

misty1212 · Answer

welkies again thanks for the medal

triciaal · Answer

another approach 
first -10 from each side 
then divide each side  by 4 
now you have 2 equations because you have an absolute 
on the left , you will take the positive = right hand side and solve 
on the left now take the negative = right hand side and solve

misty1212 · Answer

;)