What is the answer to -3|4x-7|+15=0 ?

The answer to -3|4x-7|+15=0 is x= 1/2 \lor x=3

Solve for x: -3|4x-7|+15=0

The solution is x= 1/2 \lor x=3

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- 3 ∣ 4 x - 7 ∣ + 15 = 0

x = \frac{1}{2} or x = 3

Decimal Notation

x = 0.5, x = 3

Solution steps

- 3 ∣ 4 x - 7 ∣ + 15 = 0

Move

15

to the right side

- 3 ∣ 4 x - 7 ∣ = - 15

Divide both sides by

- 3

∣ 4 x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 5 or 4 x - 7 = 5

4 x - 7 = - 5 or 4 x - 7 = 5

x = \frac{1}{2} or x = 3

8 - 4 ∣ 8 - 5 x ∣ = - 8

24 = ∣ 6 a ∣

∣ x - 4 ∣ + 3 = 1

12 = \frac{c}{7}

∣ 5 x ∣ = 50

What is the answer to -3|4x-7|+15=0 ?
The answer to -3|4x-7|+15=0 is x= 1/2 \lor x=3
Solve for x: -3|4x-7|+15=0
The solution is x= 1/2 \lor x=3