What is the answer to 2|2x-1|-8=18 ?

The answer to 2|2x-1|-8=18 is x=-6\lor x=7

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2|2x-1|-8=18

2 ∣ 2 x - 1 ∣ - 8 = 18

x = - 6 or x = 7

Solution steps

2 ∣ 2 x - 1 ∣ - 8 = 18

Move

8

to the right side

2 ∣ 2 x - 1 ∣ = 26

Divide both sides by

2

∣ 2 x - 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 13 or 2 x - 1 = 13

2 x - 1 = - 13 or 2 x - 1 = 13

x = - 6 or x = 7

\frac{8 x ^{7} y}{40 x ^{8} y ^{6}}

- \frac{8}{2}

\frac{u}{- 4} \geq 10

- 9 = 6 + s

\frac{2 ^{6}}{2 ^{2}}