What is the answer to 4|3x-5|-10=15 ?

The answer to 4|3x-5|-10=15 is x=-5/12 \lor x= 15/4

Solve for x: 4|3x-5|-10=15

The solution is x=-5/12 \lor x= 15/4

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4 ∣ 3 x - 5 ∣ - 10 = 15

x = - \frac{5}{12} or x = \frac{15}{4}

Decimal Notation

x = - 0.41666 \dots, x = 3.75

Solution steps

4 ∣ 3 x - 5 ∣ - 10 = 15

Move

10

to the right side

4 ∣ 3 x - 5 ∣ = 25

Divide both sides by

4

∣ 3 x - 5 ∣ = \frac{25}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - \frac{25}{4} or 3 x - 5 = \frac{25}{4}

3 x - 5 = - \frac{25}{4} or 3 x - 5 = \frac{25}{4}

x = - \frac{5}{12} or x = \frac{15}{4}

∣ 2 x + 7 ∣ - 4 = 6

20 = ∣ 3 y - 11 ∣

5 ∣ 3 x - 9 ∣ + 11 = 24

∣ 4 x + 1 ∣ + 9 = 17

10 - 2 ∣ x - 2 ∣ = 3

What is the answer to 4|3x-5|-10=15 ?
The answer to 4|3x-5|-10=15 is x=-5/12 \lor x= 15/4
Solve for x: 4|3x-5|-10=15
The solution is x=-5/12 \lor x= 15/4