What is the answer to 4+3|3x-7|=28 ?

The answer to 4+3|3x-7|=28 is x=-1/3 \lor x=5

Solve for x: 4+3|3x-7|=28

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

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4 + 3 ∣ 3 x - 7 ∣ = 28

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

Decimal Notation

x = - 0.33333 \dots, x = 5

Solution steps

4 + 3 ∣ 3 x - 7 ∣ = 28

Move

4

to the right side

3 ∣ 3 x - 7 ∣ = 24

Divide both sides by

3

∣ 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

- 4 ∣ 5 x - 2 ∣ - 10 = - 38

1 - ∣ 10 - 5 x ∣ = - 5

∣ y + 7 ∣ = 19

∣ 2 y - 3 ∣ = 29

∣ x - 9 ∣ = 2 x

What is the answer to 4+3|3x-7|=28 ?
The answer to 4+3|3x-7|=28 is x=-1/3 \lor x=5
Solve for x: 4+3|3x-7|=28
The solution is x=-1/3 \lor x=5