What is the answer to 54=|a-2| ?

The answer to 54=|a-2| is a=-52\lor a=56

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54=|a-2|

54 = ∣ a - 2 ∣

a = - 52 or a = 56

Solution steps

54 = ∣ a - 2 ∣

Switch sides

∣ a - 2 ∣ = 54

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a - 2 = - 54 or a - 2 = 54

a - 2 = - 54 or a - 2 = 54

a = - 52 or a = 56

\frac{6 x - 5}{4} = 7

∣ 2 x - 5 ∣ = 6 x + 11

\frac{2 x}{3} + 5 = - 8

3 ∣ x - 1 ∣ + 4 = 10

∣ x + 2 ∣ = - 7