What is the answer to |m+4|+1=26 ?

The answer to |m+4|+1=26 is m=-29\lor m=21

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|m+4|+1=26

∣ m + 4 ∣ + 1 = 26

m = - 29 or m = 21

Solution steps

∣ m + 4 ∣ + 1 = 26

Move

1

to the right side

∣ m + 4 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m + 4 = - 25 or m + 4 = 25

m + 4 = - 25 or m + 4 = 25

m = - 29 or m = 21

∣ 2 - x ∣ + 7 = 2 x

7 ∣ x - 6 ∣ = 22

x^{2} - 9 = 5

\frac{3 x}{2} = 3

∣ x ∣ = 50