What is the answer to 9=|3x-10|+3 ?

The answer to 9=|3x-10|+3 is x= 4/3 \lor x= 16/3

Solve for x: 9=|3x-10|+3

The solution is x= 4/3 \lor x= 16/3

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9 = ∣ 3 x - 10 ∣ + 3

x = \frac{4}{3} or x = \frac{16}{3}

Decimal Notation

x = 1.33333 \dots, x = 5.33333 \dots

Solution steps

9 = ∣ 3 x - 10 ∣ + 3

Switch sides

∣ 3 x - 10 ∣ + 3 = 9

Move

3

to the right side

∣ 3 x - 10 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 10 = - 6 or 3 x - 10 = 6

3 x - 10 = - 6 or 3 x - 10 = 6

x = \frac{4}{3} or x = \frac{16}{3}

3 ∣ 2 - 3 x ∣ + 2 = x + 5

3 ∣ v + 8 ∣ - 15 = 6

3 ∣ 2 z - 1 ∣ = 24

∣ 4 x + 3 ∣ - 2 = 5

x^{2} + 1 = 10

What is the answer to 9=|3x-10|+3 ?
The answer to 9=|3x-10|+3 is x= 4/3 \lor x= 16/3
Solve for x: 9=|3x-10|+3
The solution is x= 4/3 \lor x= 16/3