What is the answer to 4+|3x-10|=15 ?

The answer to 4+|3x-10|=15 is x=-1/3 \lor x=7

Solve for x: 4+|3x-10|=15

The solution is x=-1/3 \lor x=7

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4 + ∣ 3 x - 10 ∣ = 15

x = - \frac{1}{3} or x = 7

Decimal

x = - 0.33333 \dots, x = 7

Solution steps

4 + ∣ 3 x - 10 ∣ = 15

Move

4

to the right side

∣ 3 x - 10 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 10 = - 11 or 3 x - 10 = 11

3 x - 10 = - 11 or 3 x - 10 = 11

x = - \frac{1}{3} or x = 7

∣ x ∣ + 4 = 17

∣ x - 7 ∣ = 45

x^{2} - 17 ∣ x ∣ + 72 = 0

∣ 5 x - 7 ∣ - 12 = - 3

- 1 = - 4 ∣ x - 3 ∣

What is the answer to 4+|3x-10|=15 ?
The answer to 4+|3x-10|=15 is x=-1/3 \lor x=7
Solve for x: 4+|3x-10|=15
The solution is x=-1/3 \lor x=7