What is the answer to |x-4|+12=29 ?

The answer to |x-4|+12=29 is x=-13\lor x=21

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|x-4|+12=29

∣ x - 4 ∣ + 12 = 29

x = - 13 or x = 21

Solution steps

∣ x - 4 ∣ + 12 = 29

Move

12

to the right side

∣ x - 4 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 17 or x - 4 = 17

x - 4 = - 17 or x - 4 = 17

x = - 13 or x = 21

5 (x - 2) \leq 0 and - 3 x > 9

10 x + 1 = 4 x + 2

2 m^{2} + 5 = 10 m

∣ 5 x - 7 ∣ = 4

\frac{( 2 x - 6 )}{x + 4} \leq 0