What is the answer to 2|t-3|-3=7 ?

The answer to 2|t-3|-3=7 is t=-2\lor t=8

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2|t-3|-3=7

2 ∣ t - 3 ∣ - 3 = 7

t = - 2 or t = 8

Solution steps

2 ∣ t - 3 ∣ - 3 = 7

Move

3

to the right side

2 ∣ t - 3 ∣ = 10

Divide both sides by

2

∣ t - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t - 3 = - 5 or t - 3 = 5

t - 3 = - 5 or t - 3 = 5

t = - 2 or t = 8

(t - 7)^{2} = (t + 7)^{2} - 112

3 (x - 1) - 2 (x + 1) + 4 (x - 2) = 0

4 - 3 x = 2 + 5 x

p^{2} + 16 p - 22 = 0

- 3 x + 18 < 9