What is the answer to |6x-1|+7=7 ?

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

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|6x-1|+7=7

∣ 6 x - 1 ∣ + 7 = 7

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

∣ 6 x - 1 ∣ + 7 = 7

Subtract

7

from both sides

∣ 6 x - 1 ∣ + 7 - 7 = 7 - 7

Simplify

∣ 6 x - 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x - 1 = 0

6 x - 1 = 0 : x = \frac{1}{6}

x = \frac{1}{6}

∣ 3 x ∣ + 8 = 17

x^{2} + 6 x - 8 = 8

∣ 5 x - 3 ∣ + 2 = 7

x^{2} - 13 = 3

- 2 ∣ x + 8 ∣ = 20