What is the answer to |-5x+1|=6 ?

The answer to |-5x+1|=6 is x=-1\lor x= 7/5

Solve for x: |-5x+1|=6

The solution is x=-1\lor x= 7/5

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∣ - 5 x + 1 ∣ = 6

x = - 1 or x = \frac{7}{5}

Decimal

x = - 1, x = 1.4

Solution steps

∣ - 5 x + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x + 1 = - 6 or - 5 x + 1 = 6

- 5 x + 1 = - 6 or - 5 x + 1 = 6

x = - 1 or x = \frac{7}{5}

∣ 2 x + 3 ∣ = 12

0 = ∣ 3 x + 3 ∣ + 3

∣ 4 x + 4 ∣ = 8 x + 16

∣ 3 x + 4 ∣ = 11

∣ k ∣ - 3 = 2