What is the answer to |2t|-5=7 ?

The answer to |2t|-5=7 is t=-6\lor t=6

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|2t|-5=7

∣ 2 t ∣ - 5 = 7

t = - 6 or t = 6

Solution steps

∣ 2 t ∣ - 5 = 7

Move

5

to the right side

∣ 2 t ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 t = - 12 or 2 t = 12

2 t = - 12 or 2 t = 12

t = - 6 or t = 6

- 5 = ∣ d - 5 ∣

- 4 ∣ 3 - x ∣ = 28

x^{2} + 6 x = 3 x + 1

1 + \frac{n}{6} = 2

∣ 15 - 2 k ∣ = 45