What is the answer to 10-|3x|=5 ?

The answer to 10-|3x|=5 is x=-5/3 \lor x= 5/3

Solve for x: 10-|3x|=5

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

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10 - ∣ 3 x ∣ = 5

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

Decimal Notation

x = - 1.66666 \dots, x = 1.66666 \dots

Solution steps

10 - ∣ 3 x ∣ = 5

Move

10

to the right side

- ∣ 3 x ∣ = - 5

Divide both sides by

- 1

∣ 3 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 5 or 3 x = 5

3 x = - 5 or 3 x = 5

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

- 10 = ∣ 8 z ∣ - 16

∣ x ∣ + 15 = 7

2 ∣ x + 6 ∣ + 17 = 3

∣ 5 d - 8 ∣ = 28

0 = - 9 ∣ r ∣