What is the answer to 5+|4x+8|=25 ?

The answer to 5+|4x+8|=25 is x=-7\lor x=3

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5+|4x+8|=25

5 + ∣ 4 x + 8 ∣ = 25

x = - 7 or x = 3

Solution steps

5 + ∣ 4 x + 8 ∣ = 25

Move

5

to the right side

∣ 4 x + 8 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 8 = - 20 or 4 x + 8 = 20

4 x + 8 = - 20 or 4 x + 8 = 20

x = - 7 or x = 3

∣ x ∣ = x^{2} + x - 35

∣ 3 + 2 x ∣ = 17

∣ m - 3 ∣ - 2 = 0

∣ 3 x + 4 ∣ = ∣ x + 5 ∣

\frac{4}{3} x + 2 = 6