What is the answer to |2x-7|-8=1 ?

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

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|2x-7|-8=1

∣ 2 x - 7 ∣ - 8 = 1

x = - 1 or x = 8

Solution steps

∣ 2 x - 7 ∣ - 8 = 1

Move

8

to the right side

∣ 2 x - 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 9 or 2 x - 7 = 9

2 x - 7 = - 9 or 2 x - 7 = 9

x = - 1 or x = 8

2 x^{2} + 20 x + 44 = 0

a^{3} + a^{2} + a + 1

x^{2} - 5 y + 5 x - x y

\frac{3}{2 + 3}

4 x - 2 = - 14 + 4 (2 x - 1)