What is the answer to |x-3|+5=7 ?

The answer to |x-3|+5=7 is x=1\lor x=5

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|x-3|+5=7

∣ x - 3 ∣ + 5 = 7

x = 1 or x = 5

Solution steps

∣ x - 3 ∣ + 5 = 7

Move

5

to the right side

∣ x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 2 or x - 3 = 2

x - 3 = - 2 or x - 3 = 2

x = 1 or x = 5

∣ x - 3 ∣ + 5 = 4

4 + 4 ∣ 5 x - 2 ∣ = 16

∣ - 9 + n ∣ = 10

\frac{x}{2} - 2 - 2 = 2

∣ d + 2 ∣ - 5 = 6