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

The answer to |3-7x|=3 is x=0\lor x= 6/7

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|3-7x|=3

∣ 3 - 7 x ∣ = 3

x = 0 or x = \frac{6}{7}

Decimal Notation

x = 0, x = 0.85714 \dots

Solution steps

∣ 3 - 7 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{6}{7}

∣ 3 y + 6 ∣ - 40 = - 13

∣ 4 x - 12 ∣ = 4

∣ 7 x + 1 ∣ - 8 = - 1

3 = ∣ q - 6 ∣

∣ q + 8 ∣ = 14