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

The answer to -7=(|x-3|)/(-2) is x=-11\lor x=17

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-7=(|x-3|)/(-2)

- 7 = \frac{∣ x - 3 ∣}{- 2}

x = - 11 or x = 17

Solution steps

- 7 = \frac{∣ x - 3 ∣}{- 2}

Switch sides

\frac{∣ x - 3 ∣}{- 2} = - 7

Multiply both sides by

- 2

∣ x - 3 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 14 or x - 3 = 14

x - 3 = - 14 or x - 3 = 14

x = - 11 or x = 17

∣ - y ∣ = - 18

∣ c - 3 ∣ = 3

∣ - 8 - n ∣ + 8 = 8

- 3 ∣ 1 - x ∣ - 2 = - 14

30 = ∣ x + 10 ∣

What is the answer to -7=(|x-3|)/(-2) ?
The answer to -7=(|x-3|)/(-2) is x=-11\lor x=17
Solve for x: -7=(|x-3|)/(-2)
The solution is x=-11\lor x=17