What is the answer to |2-x|=5 ?

The answer to |2-x|=5 is x=-3\lor x=7

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|2-x|=5

∣ 2 - x ∣ = 5

x = - 3 or x = 7

Solution steps

∣ 2 - x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - x = - 5 or 2 - x = 5

2 - x = - 5 or 2 - x = 5

x = - 3 or x = 7

- \frac{1}{3} (1) + 4

x^{2} + 3 x - 28

\frac{x + 4}{3} + \frac{x}{2} = 1

8 x^{2} + 64 x + 120 = 0

(\frac{4 x y}{5 x ^{2} y ^{- 2}})^{2}