What is the answer to -5|1-3x|+4=-31 ?

The answer to -5|1-3x|+4=-31 is x=-2\lor x= 8/3

Solve for x: -5|1-3x|+4=-31

The solution is x=-2\lor x= 8/3

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- 5 ∣ 1 - 3 x ∣ + 4 = - 31

x = - 2 or x = \frac{8}{3}

Decimal Notation

x = - 2, x = 2.66666 \dots

Solution steps

- 5 ∣ 1 - 3 x ∣ + 4 = - 31

Move

4

to the right side

- 5 ∣ 1 - 3 x ∣ = - 35

Divide both sides by

- 5

∣ 1 - 3 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 3 x = - 7 or 1 - 3 x = 7

1 - 3 x = - 7 or 1 - 3 x = 7

x = - 2 or x = \frac{8}{3}

∣ a - 15 ∣ = 28

∣ 3 x + 4 ∣ = 8

∣ 4 x - 2 ∣ = 26

8 + ∣ x - 5 ∣ = 11

- 8 ∣ 2 x - 6 ∣ + 4 = - 60

What is the answer to -5|1-3x|+4=-31 ?
The answer to -5|1-3x|+4=-31 is x=-2\lor x= 8/3
Solve for x: -5|1-3x|+4=-31
The solution is x=-2\lor x= 8/3