What is the answer to |2t-3|+2=5 ?

The answer to |2t-3|+2=5 is t=0\lor t=3

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|2t-3|+2=5

∣ 2 t - 3 ∣ + 2 = 5

t = 0 or t = 3

Solution steps

∣ 2 t - 3 ∣ + 2 = 5

Move

2

to the right side

∣ 2 t - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 t - 3 = - 3 or 2 t - 3 = 3

2 t - 3 = - 3 or 2 t - 3 = 3

t = 0 or t = 3

x^{2} + 4 x = 12

∣ 7 - 4 x ∣ + 10 = 35

∣ 2 x - 11 ∣ = 15

∣ d + 5 ∣ + 4 = 5

∣ 2 x + 1 ∣ = 0