Question

(02.03 MC)

Answer 1

Answer:

So the Solution is

$x = 4\ , x = -2$

Step-by-step 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

$\dfrac{4|2x-2|}{4}=\dfrac{24}{4}\\\\|2x-2|=6$

Step 3. Removing Modulus sign we get two values

$2x-2=6\ or\ 2x-2=-6\\\\2x=6+2\ or\ 2x=-6+2\\\\2x=8\ or\ 2x=-4\\\\x=\dfrac{8}{2} \ or\ x=\dfrac{-4}{2} \\\\x=4\ or\ x=-2$

So the Solution is

$x = 4\ , x = -2$