What is the answer to 10=|1-3x| ?

The answer to 10=|1-3x| is x=-3\lor x= 11/3

Solve for x: 10=|1-3x|

The solution is x=-3\lor x= 11/3

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10 = ∣ 1 - 3 x ∣

x = - 3 or x = \frac{11}{3}

Decimal Notation

x = - 3, x = 3.66666 \dots

Solution steps

10 = ∣ 1 - 3 x ∣

Switch sides

∣ 1 - 3 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 3 x = - 10 or 1 - 3 x = 10

1 - 3 x = - 10 or 1 - 3 x = 10

x = - 3 or x = \frac{11}{3}

\frac{a}{3} = 4

∣ - 6 + 2 c ∣ = 7

3 ∣ x + 4 ∣ - 2 = x

∣ x + 24 ∣ = - 7 x

9 - 6 ∣ x ∣ = - 45