What is the answer to |5-3x|-4=8 ?

The answer to |5-3x|-4=8 is x=-7/3 \lor x= 17/3

Solve for x: |5-3x|-4=8

The solution is x=-7/3 \lor x= 17/3

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∣ 5 - 3 x ∣ - 4 = 8

x = - \frac{7}{3} or x = \frac{17}{3}

Decimal

x = - 2.33333 \dots, x = 5.66666 \dots

Solution steps

∣ 5 - 3 x ∣ - 4 = 8

Move

4

to the right side

∣ 5 - 3 x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 3 x = - 12 or 5 - 3 x = 12

5 - 3 x = - 12 or 5 - 3 x = 12

x = - \frac{7}{3} or x = \frac{17}{3}

- ∣ x + 3 ∣ = - 21

a, ∣ x - a ∣ = 3 x + 1

∣ x ∣ = - ∣ y ∣

2 ∣ x + 1 ∣ + 1 = - 3

∣ x - 2 ∣ = - \frac{1}{2} x + 4

What is the answer to |5-3x|-4=8 ?
The answer to |5-3x|-4=8 is x=-7/3 \lor x= 17/3
Solve for x: |5-3x|-4=8
The solution is x=-7/3 \lor x= 17/3