Question

Solve the absolute value equation:
|2x-4|=10

A) x=3,-3
B) x = -3, 7
C) x = 3, -7
D) x = 7, -7

Answer 1

Like with the last one, you need to split it into two separate equations

2x-4 = 10

and the negative version

-2x+4 =10

Solving each of those will give you your two values.

Answer 2

taking the absolute value you'll have the equations to find the values of x as:
2x - 4 = 10
and
2x - 4 = -10

Answer 3

Just for clarity, that works because the absolute value of 2x-4 is the same as the absolute value of -(2x-4) which is -2x+4.

Answer 4

|2x - 4| = 10

Splits into:

2x - 4 = 10

and

-2x + 4 = 10

----------------

2x - 4 = 10

Add 4 to both sides:

2x = 14

Divide 2 to both sides:

x = 7

----------------

-2x + 4 = 10

Subtract 4 to both sides:

-2x = 6

Divide -2 to both sides:

What's 6 / -2?

Answer 5

@pigglet

Answer 6

-3, sorry, got distracted.

Answer 7

@iGreen

Answer 8

Yep, so our answers are 7 and -3.

Answer 9

so, B. thanks!