What is the answer to 3|x+2|+4=13 ?

The answer to 3|x+2|+4=13 is x=-5\lor x=1

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3|x+2|+4=13

3 ∣ x + 2 ∣ + 4 = 13

x = - 5 or x = 1

Solution steps

3 ∣ x + 2 ∣ + 4 = 13

Move

4

to the right side

3 ∣ x + 2 ∣ = 9

Divide both sides by

3

∣ 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

5 x^{2} + 8 x - 4

x^{2} - 1 < 1

\frac{2}{3} x - 2 = 7

\frac{6 !}{4 ! ( 2 ) !}

(r^{2})^{\frac{3}{2}}