What is the answer to |1-3x|=37 ?

The answer to |1-3x|=37 is x=-12\lor x= 38/3

Solve for x: |1-3x|=37

The solution is x=-12\lor x= 38/3

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∣ 1 - 3 x ∣ = 37

x = - 12 or x = \frac{38}{3}

Decimal

x = - 12, x = 12.66666 \dots

Solution steps

∣ 1 - 3 x ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 3 x = - 37 or 1 - 3 x = 37

1 - 3 x = - 37 or 1 - 3 x = 37

x = - 12 or x = \frac{38}{3}

∣ 2 x + 1 ∣ + 5 = x + 5

∣ x + 2 ∣ - 5 = 9

∣ 3 x - 9 ∣ - ∣ 4 x - 6 ∣ = 4

∣ x - 2 ∣ + ∣ x ∣ = 2

∣ x + 1 ∣ = ∣ x - 1 ∣