What is the answer to 5|x+8|+1=9 ?

The answer to 5|x+8|+1=9 is x=-48/5 \lor x=-32/5

Solve for x: 5|x+8|+1=9

The solution is x=-48/5 \lor x=-32/5

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5 ∣ x + 8 ∣ + 1 = 9

x = - \frac{48}{5} or x = - \frac{32}{5}

Solution steps

5 ∣ x + 8 ∣ + 1 = 9

Move

1

to the right side

5 ∣ x + 8 ∣ = 8

Divide both sides by

5

∣ x + 8 ∣ = \frac{8}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{48}{5} or x = - \frac{32}{5}

∣ 5 x - 8 ∣ = 10

∣ m ∣ = 7

8 ∣ x - 2 ∣ + 5 = 21

6 ∣ 5 p + 4 ∣ - 16 = 20

4 - ∣ 5 x - 9 ∣ = - 40

What is the answer to 5|x+8|+1=9 ?
The answer to 5|x+8|+1=9 is x=-48/5 \lor x=-32/5
Solve for x: 5|x+8|+1=9
The solution is x=-48/5 \lor x=-32/5