What is the answer to 5|x+3|-1=6 ?

The answer to 5|x+3|-1=6 is x=-22/5 \lor x=-8/5

Solve for x: 5|x+3|-1=6

The solution is x=-22/5 \lor x=-8/5

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5 ∣ x + 3 ∣ - 1 = 6

x = - \frac{22}{5} or x = - \frac{8}{5}

Solution steps

5 ∣ x + 3 ∣ - 1 = 6

Move

1

to the right side

5 ∣ x + 3 ∣ = 7

Divide both sides by

5

∣ x + 3 ∣ = \frac{7}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - \frac{7}{5} or x + 3 = \frac{7}{5}

x + 3 = - \frac{7}{5} or x + 3 = \frac{7}{5}

x = - \frac{22}{5} or x = - \frac{8}{5}

∣ 2 x - 3 ∣ - x^{2} - 4 x + 3 = x^{2} - 2 x

x^{2} - x + ∣ x + 1 ∣ = 5

∣ x ∣ + ∣ y ∣ = 4

∣ x ∣ + x^{3} = 0

(3 x - 2)^{2} - 5 ∣ 3 x - 2 ∣ - 6 = 0

What is the answer to 5|x+3|-1=6 ?
The answer to 5|x+3|-1=6 is x=-22/5 \lor x=-8/5
Solve for x: 5|x+3|-1=6
The solution is x=-22/5 \lor x=-8/5