Respuesta :
Answer:
So the Solution is
[tex]x = 4\ , x = -2[/tex]
Step-by-step explanation:
Solve for x: 4|2x − 2| + 10 = 34.
Step 1. Subtracting 10 on both the sides we get
[tex]4|2x-2|+10-10=34-10\\\\4|2x-2|=24[/tex]
Step 2. Dividing both the side by 4 we get
[tex]\dfrac{4|2x-2|}{4}=\dfrac{24}{4}\\\\|2x-2|=6[/tex]
Step 3. Removing Modulus sign we get two values
[tex]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\\[/tex]
So the Solution is
[tex]x = 4\ , x = -2[/tex]
