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

The answer to 2/7 |-x-3|=2 is x=-10\lor x=4

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2/7 |-x-3|=2

\frac{2}{7} ∣ - x - 3 ∣ = 2

x = - 10 or x = 4

Solution steps

\frac{2}{7} ∣ - x - 3 ∣ = 2

Multiply both sides by

7

2 ∣ - x - 3 ∣ = 14

Divide both sides by

2

∣ - x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- x - 3 = - 7 or - x - 3 = 7

- x - 3 = - 7 or - x - 3 = 7

x = - 10 or x = 4

∣ 2 x - 12 ∣ = 30

∣ r ∣ = 3

∣ 10 x - 3 ∣ = 0

∣ 14 x - 3 ∣ = 10

∣ - 5 x + 7 ∣ + 15 = 2 x

What is the answer to 2/7 |-x-3|=2 ?
The answer to 2/7 |-x-3|=2 is x=-10\lor x=4
Solve for x: 2/7 |-x-3|=2
The solution is x=-10\lor x=4