What is the answer to |x-7|+5=17 ?

The answer to |x-7|+5=17 is x=-5\lor x=19

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|x-7|+5=17

∣ x - 7 ∣ + 5 = 17

x = - 5 or x = 19

Solution steps

∣ x - 7 ∣ + 5 = 17

Move

5

to the right side

∣ x - 7 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 12 or x - 7 = 12

x - 7 = - 12 or x - 7 = 12

x = - 5 or x = 19

5 x = 28

5 x^{2} = 245

∣ - 9 - 7 x ∣ = ∣ 23 - 7 x ∣

7 = 3 (x - 1) + 4 (x - 1)

\frac{12 2}{2}