What is the answer to -4|3x-7|-7=-39 ?

The answer to -4|3x-7|-7=-39 is x=-1/3 \lor x=5

Solve for x: -4|3x-7|-7=-39

The solution is x=-1/3 \lor x=5

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- 4 ∣ 3 x - 7 ∣ - 7 = - 39

x = - \frac{1}{3} or x = 5

Decimal Notation

x = - 0.33333 \dots, x = 5

Solution steps

- 4 ∣ 3 x - 7 ∣ - 7 = - 39

Move

7

to the right side

- 4 ∣ 3 x - 7 ∣ = - 32

Divide both sides by

- 4

∣ 3 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 8 or 3 x - 7 = 8

3 x - 7 = - 8 or 3 x - 7 = 8

x = - \frac{1}{3} or x = 5

∣ 7 x - 3 ∣ = 10

∣ 5 x + 3 ∣ + 12 = 4

∣ 6 x - 3 ∣ + 3 = 3

\frac{1}{4} x = 4 x

3 ∣ u - 3 ∣ + 11 = 50

What is the answer to -4|3x-7|-7=-39 ?
The answer to -4|3x-7|-7=-39 is x=-1/3 \lor x=5
Solve for x: -4|3x-7|-7=-39
The solution is x=-1/3 \lor x=5