What is the answer to 3-|8x-6|=3 ?

The answer to 3-|8x-6|=3 is x= 3/4

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3-|8x-6|=3

3 - ∣ 8 x - 6 ∣ = 3

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

3 - ∣ 8 x - 6 ∣ = 3

Subtract

3

from both sides

3 - ∣ 8 x - 6 ∣ - 3 = 3 - 3

Simplify

- ∣ 8 x - 6 ∣ = 0

Divide both sides by

- 1

∣ 8 x - 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

8 x - 6 = 0

8 x - 6 = 0 : x = \frac{3}{4}

x = \frac{3}{4}

7 y + 4 \leq 7 - y

x^{2} - 36 < 1

16 x^{2} + 25 = 0

(7 + 10 - x) - 4 = 6

18 x - 5 = 6 x - (x + 2) + (x + 3)