What is the answer to |10-3x|=7 ?

The answer to |10-3x|=7 is x=1\lor x= 17/3

Solve for x: |10-3x|=7

The solution is x=1\lor x= 17/3

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∣ 10 - 3 x ∣ = 7

x = 1 or x = \frac{17}{3}

Decimal Notation

x = 1, x = 5.66666 \dots

Solution steps

∣ 10 - 3 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 - 3 x = - 7 or 10 - 3 x = 7

10 - 3 x = - 7 or 10 - 3 x = 7

x = 1 or x = \frac{17}{3}

75 = ∣ - 3 q - 45 ∣

∣ 3 x - 17 ∣ - 18 = 9

∣ 2 + 4 p ∣ - 5 = - 3

2 ∣ x - 1 ∣ = 13

2 ∣ x - 1 ∣ = 16