What is the answer to |2x-6|=8 ?

The answer to |2x-6|=8 is x=-1\lor x=7

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|2x-6|=8

∣ 2 x - 6 ∣ = 8

x = - 1 or x = 7

Solution steps

∣ 2 x - 6 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 6 = - 8 or 2 x - 6 = 8

2 x - 6 = - 8 or 2 x - 6 = 8

x = - 1 or x = 7

5 z^{2} + 17 z + 13 = 0

(a^{- 1} - b^{- 1})^{- 1}

- 2 x^{2} + 5 x + 12 = 0

\frac{1}{2} (c - 2) + \frac{1}{4} (2 c + 1) = \frac{5}{4}

- x^{2} + 2 x y - y^{2}