What is the answer to 5|x+6|-57=-7 ?

The answer to 5|x+6|-57=-7 is x=-16\lor x=4

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5|x+6|-57=-7

5 ∣ x + 6 ∣ - 57 = - 7

x = - 16 or x = 4

Solution steps

5 ∣ x + 6 ∣ - 57 = - 7

Move

57

to the right side

5 ∣ x + 6 ∣ = 50

Divide both sides by

5

∣ x + 6 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 10 or x + 6 = 10

x + 6 = - 10 or x + 6 = 10

x = - 16 or x = 4

2 ∣ x - 5 ∣ - 4 = 2

4 = ∣ d - 3 ∣

∣ x + 4 ∣ = - x + 8

\frac{1}{2} ∣ x - 4 ∣ = 6

∣ - 4 z - 6 ∣ = 6

What is the answer to 5|x+6|-57=-7 ?
The answer to 5|x+6|-57=-7 is x=-16\lor x=4
Solve for x: 5|x+6|-57=-7
The solution is x=-16\lor x=4