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

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

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

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

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∣ 5 - 4 x ∣ - 3 = 4

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

Decimal Notation

x = - 0.5, x = 3

Solution steps

∣ 5 - 4 x ∣ - 3 = 4

Move

3

to the right side

∣ 5 - 4 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

- 3 ∣ r - 4 ∣ - 7 = - 22

7 ∣ 2 - 11 x ∣ = 21

- 5 ∣ 7 x - 2 ∣ + 3 x = 3 x + 10

x^{2} - ∣ x ∣ = 1

3 (∣ x + 3 ∣ + 2) = 6