What is the answer to 50=|-31+x| ?

The answer to 50=|-31+x| is x=-19\lor x=81

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50=|-31+x|

50 = ∣ - 31 + x ∣

x = - 19 or x = 81

Solution steps

50 = ∣ - 31 + x ∣

Switch sides

∣ - 31 + x ∣ = 50

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 31 + x = - 50 or - 31 + x = 50

- 31 + x = - 50 or - 31 + x = 50

x = - 19 or x = 81

- 10 ∣ 9 + x ∣ = - 30

∣ x ∣ = \frac{36}{10}

∣ a + 1 ∣ = 1

∣ - 9 n - 9 ∣ = 72

1 - 3 ∣ 8 + x ∣ = - 35