What is the answer to |1-4x|-5=3 ?

The answer to |1-4x|-5=3 is x=-7/4 \lor x= 9/4

Solve for x: |1-4x|-5=3

The solution is x=-7/4 \lor x= 9/4

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∣ 1 - 4 x ∣ - 5 = 3

x = - \frac{7}{4} or x = \frac{9}{4}

Decimal Notation

x = - 1.75, x = 2.25

Solution steps

∣ 1 - 4 x ∣ - 5 = 3

Move

5

to the right side

∣ 1 - 4 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 x = - 8 or 1 - 4 x = 8

1 - 4 x = - 8 or 1 - 4 x = 8

x = - \frac{7}{4} or x = \frac{9}{4}

∣ w ∣ + 13 = 13

5 = x^{2} - 2 x - 4

∣ 2 t - 5 ∣ = 4

∣ x - 5 ∣ = 4 x + 2

5 ∣ 2 Z + 7 ∣ = 8

What is the answer to |1-4x|-5=3 ?
The answer to |1-4x|-5=3 is x=-7/4 \lor x= 9/4
Solve for x: |1-4x|-5=3
The solution is x=-7/4 \lor x= 9/4