What is the answer to 4|2-5x|=32 ?

The answer to 4|2-5x|=32 is x=-6/5 \lor x=2

Solve for x: 4|2-5x|=32

The solution is x=-6/5 \lor x=2

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4 ∣ 2 - 5 x ∣ = 32

x = - \frac{6}{5} or x = 2

Decimal

x = - 1.2, x = 2

Solution steps

4 ∣ 2 - 5 x ∣ = 32

Divide both sides by

4

∣ 2 - 5 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 5 x = - 8 or 2 - 5 x = 8

2 - 5 x = - 8 or 2 - 5 x = 8

x = - \frac{6}{5} or x = 2

∣ 2 w - 3 ∣ = 5

x^{2} - x - 1 = ∣ x - 1 ∣

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

∣ k - 2 ∣ = - 8

3 - ∣ 2 x - 2 ∣ = ∣ 5 - 2 x ∣