What is the answer to 1/3 |x+6|-5=7 ?

The answer to 1/3 |x+6|-5=7 is x=-42\lor x=30

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1/3 |x+6|-5=7

\frac{1}{3} ∣ x + 6 ∣ - 5 = 7

x = - 42 or x = 30

Solution steps

\frac{1}{3} ∣ x + 6 ∣ - 5 = 7

Move

5

to the right side

\frac{1}{3} ∣ x + 6 ∣ = 12

Multiply both sides by

3

∣ x + 6 ∣ = 36

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 36 or x + 6 = 36

x + 6 = - 36 or x + 6 = 36

x = - 42 or x = 30

∣ x - 1 ∣ + 9 = 0

∣ - x ∣ = 6

2 - 5 ∣ 4 + 5 x ∣ = - 103

∣ x + 1 ∣ + ∣ 2 x + 3 ∣ = 2

∣ 3 t - 2 ∣ = ∣ 2 - 3 t ∣

What is the answer to 1/3 |x+6|-5=7 ?
The answer to 1/3 |x+6|-5=7 is x=-42\lor x=30
Solve for x: 1/3 |x+6|-5=7
The solution is x=-42\lor x=30