What is the answer to -3|4x-3|+20=5 ?

The answer to -3|4x-3|+20=5 is x=-1/2 \lor x=2

Solve for x: -3|4x-3|+20=5

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

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- 3 ∣ 4 x - 3 ∣ + 20 = 5

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

Solution steps

- 3 ∣ 4 x - 3 ∣ + 20 = 5

Move

20

to the right side

- 3 ∣ 4 x - 3 ∣ = - 15

Divide both sides by

- 3

∣ 4 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 5 or 4 x - 3 = 5

4 x - 3 = - 5 or 4 x - 3 = 5

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

x^{2} - 3 x = 6 - 4 x

2 x = ∣ x - 1 ∣

5 = ∣ p - 4 ∣

∣ x - 1 ∣ - 1 = 0

x^{2} - 121 = 0

What is the answer to -3|4x-3|+20=5 ?
The answer to -3|4x-3|+20=5 is x=-1/2 \lor x=2
Solve for x: -3|4x-3|+20=5
The solution is x=-1/2 \lor x=2