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

The answer to |6x-5|+6=6 is x= 5/6

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|6x-5|+6=6

∣ 6 x - 5 ∣ + 6 = 6

x = \frac{5}{6}

Decimal Notation

x = 0.83333 \dots

Solution steps

∣ 6 x - 5 ∣ + 6 = 6

Subtract

6

from both sides

∣ 6 x - 5 ∣ + 6 - 6 = 6 - 6

Simplify

∣ 6 x - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x - 5 = 0

6 x - 5 = 0 : x = \frac{5}{6}

x = \frac{5}{6}

68 = ∣ 9 s ∣ - 4

∣ 6 x + 1 ∣ = 13

∣ 4 x + 3 ∣ = - 5 x

- ∣ w ∣ = - 12

- 5 ∣ g ∣ = 0