What is the answer to |3x-10|+5=12 ?

The answer to |3x-10|+5=12 is x=1\lor x= 17/3

Solve for x: |3x-10|+5=12

The solution is x=1\lor x= 17/3

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∣ 3 x - 10 ∣ + 5 = 12

x = 1 or x = \frac{17}{3}

Decimal Notation

x = 1, x = 5.66666 \dots

Solution steps

∣ 3 x - 10 ∣ + 5 = 12

Move

5

to the right side

∣ 3 x - 10 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 10 = - 7 or 3 x - 10 = 7

3 x - 10 = - 7 or 3 x - 10 = 7

x = 1 or x = \frac{17}{3}

∣ 8 x - 24 ∣ = 8

8 ∣ 2 x + 7 ∣ - 1 = 23

∣ 25 - 4 x ∣ = 32

- 2 ∣ 5 x ∣ = - 18

- 7 ∣ y + 2 ∣ = - 49

What is the answer to |3x-10|+5=12 ?
The answer to |3x-10|+5=12 is x=1\lor x= 17/3
Solve for x: |3x-10|+5=12
The solution is x=1\lor x= 17/3