Question

(02.03 MC)

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

x = 4 , x = -2

Explanation:

Answer 2

So the Solution is

`x = 4\ , x = -2`

Explanation:

Solve for x: 4|2x − 2| + 10 = 34.

Step 1. Subtracting 10 on both the sides we get

`4|2x-2|+10-10=34-10\\\\4|2x-2|=24`

Step 2. Dividing both the side by 4 we get

`(4|2x-2|)/(4)=(24)/(4)\\\\|2x-2|=6`

Step 3. Removing Modulus sign we get two values

`2x-2=6\ or\ 2x-2=-6\\\\2x=6+2\ or\ 2x=-6+2\\\\2x=8\ or\ 2x=-4\\\\x=(8)/(2) \ or\ x=(-4)/(2) \\\\x=4\ or\ x=-2\\`

So the Solution is

`x = 4\ , x = -2`