What is the answer to 3\times |x-2|-2=7 ?

The answer to 3\times |x-2|-2=7 is x=-1\lor x=5

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3\times |x-2|-2=7

3 \cdot ∣ x - 2 ∣ - 2 = 7

x = - 1 or x = 5

Solution steps

3 ∣ x - 2 ∣ - 2 = 7

Move

2

to the right side

3 ∣ x - 2 ∣ = 9

Divide both sides by

3

∣ x - 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 3 or x - 2 = 3

x - 2 = - 3 or x - 2 = 3

x = - 1 or x = 5

∣ 1 - x ∣ = 3 x

- \frac{1}{2} ∣ x + 3 ∣ + 4 = 0

∣ x + 4 ∣ = 1 - \frac{3}{4} x^{2}

∣ x - 3 ∣^{2} + ∣ x - 3 ∣ = 12

∣ 3 x - 5 ∣ = - 1

What is the answer to 3\times |x-2|-2=7 ?
The answer to 3\times |x-2|-2=7 is x=-1\lor x=5
Solve for x: 3\times |x-2|-2=7
The solution is x=-1\lor x=5