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

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

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

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

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∣ - 4 + 5 x ∣ = 2

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

Solution steps

∣ - 4 + 5 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 + 5 x = - 2 or - 4 + 5 x = 2

- 4 + 5 x = - 2 or - 4 + 5 x = 2

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

∣ x - 3 ∣ + 18 = 6

a = ∣ 5 x - 3 ∣ - 4

∣ x + 4 ∣ = - 2

∣ x + 4 ∣ = - 4

∣ x + 4 ∣ = - 5