What is the answer to |-6x+5|=4 ?

The answer to |-6x+5|=4 is x= 1/6 \lor x= 3/2

Solve for x: |-6x+5|=4

The solution is x= 1/6 \lor x= 3/2

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∣ - 6 x + 5 ∣ = 4

x = \frac{1}{6} or x = \frac{3}{2}

Decimal Notation

x = 0.16666 \dots, x = 1.5

Solution steps

∣ - 6 x + 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 x + 5 = - 4 or - 6 x + 5 = 4

- 6 x + 5 = - 4 or - 6 x + 5 = 4

x = \frac{1}{6} or x = \frac{3}{2}

∣ y + 6 ∣ = 2

∣ x - 1 ∣ - 8 = 0

2 ∣ x ∣ - 4 = 6

\frac{1}{2} ∣ x ∣ - 3 = 6

∣ x + 6 ∣ - 7 = 5