What is the answer to |-3x+1|=4 ?

The answer to |-3x+1|=4 is x=-1\lor x= 5/3

Solve for x: |-3x+1|=4

The solution is x=-1\lor x= 5/3

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∣ - 3 x + 1 ∣ = 4

x = - 1 or x = \frac{5}{3}

Decimal Notation

x = - 1, x = 1.66666 \dots

Solution steps

∣ - 3 x + 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x + 1 = - 4 or - 3 x + 1 = 4

- 3 x + 1 = - 4 or - 3 x + 1 = 4

x = - 1 or x = \frac{5}{3}

- 1 + 2 x = 6 x + 11

4 (x - 7)^{2} = 12

x^{2} + 2 x - 3 > 0

3 3^{2}

- 7 y + y^{2} - 30