What is the answer to 3|4x-5|-4=11 ?

The answer to 3|4x-5|-4=11 is x=0\lor x= 5/2

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3|4x-5|-4=11

3 ∣ 4 x - 5 ∣ - 4 = 11

x = 0 or x = \frac{5}{2}

Decimal Notation

x = 0, x = 2.5

Solution steps

3 ∣ 4 x - 5 ∣ - 4 = 11

Move

4

to the right side

3 ∣ 4 x - 5 ∣ = 15

Divide both sides by

3

∣ 4 x - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{5}{2}

2^{1}

2 x^{2} - 400 = 0

5 x^{2} - 26 x + 5

- \frac{3}{7} \cdot (- 8)

e^{- \frac{2}{3}}

What is the answer to 3|4x-5|-4=11 ?
The answer to 3|4x-5|-4=11 is x=0\lor x= 5/2
Solve for x: 3|4x-5|-4=11
The solution is x=0\lor x= 5/2