What is the answer to |x+2|+3=6 ?

The answer to |x+2|+3=6 is x=-5\lor x=1

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|x+2|+3=6

∣ x + 2 ∣ + 3 = 6

x = - 5 or x = 1

Solution steps

∣ x + 2 ∣ + 3 = 6

Move

3

to the right side

∣ x + 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 5 or x = 1

35 \cdot (x^{2} + 4) + 13 (x^{2} + 36) = 8 (3 + x)

- 5 x = - 25

\frac{10 a}{2}

3 x^{2} + 11 x + 10 = 0

x^{2} - 48 = 2 x