What is the answer to 4-5|4x-2|=-41 ?

The answer to 4-5|4x-2|=-41 is x=-7/4 \lor x= 11/4

Solve for x: 4-5|4x-2|=-41

The solution is x=-7/4 \lor x= 11/4

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4 - 5 ∣ 4 x - 2 ∣ = - 41

x = - \frac{7}{4} or x = \frac{11}{4}

Decimal Notation

x = - 1.75, x = 2.75

Solution steps

4 - 5 ∣ 4 x - 2 ∣ = - 41

Move

4

to the right side

- 5 ∣ 4 x - 2 ∣ = - 45

Divide both sides by

- 5

∣ 4 x - 2 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 2 = - 9 or 4 x - 2 = 9

4 x - 2 = - 9 or 4 x - 2 = 9

x = - \frac{7}{4} or x = \frac{11}{4}

∣ 2 x + 4 ∣ = 18

2 + 2 ∣ 2 x - 7 ∣ = 24

∣ 4 x + 1 ∣ + 1 = 3 x

∣ 3 x - 4 ∣ + 8 = x

∣ 5 x - 2 ∣ = 7 x + 14

What is the answer to 4-5|4x-2|=-41 ?
The answer to 4-5|4x-2|=-41 is x=-7/4 \lor x= 11/4
Solve for x: 4-5|4x-2|=-41
The solution is x=-7/4 \lor x= 11/4