What is the answer to 4-3|5x-7|=-2 ?

The answer to 4-3|5x-7|=-2 is x=1\lor x= 9/5

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4-3|5x-7|=-2

4 - 3 ∣ 5 x - 7 ∣ = - 2

x = 1 or x = \frac{9}{5}

Decimal Notation

x = 1, x = 1.8

Solution steps

4 - 3 ∣ 5 x - 7 ∣ = - 2

Move

4

to the right side

- 3 ∣ 5 x - 7 ∣ = - 6

Divide both sides by

- 3

∣ 5 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 7 = - 2 or 5 x - 7 = 2

5 x - 7 = - 2 or 5 x - 7 = 2

x = 1 or x = \frac{9}{5}

∣ 7 x + 3 ∣ - 6 x + 4 = 0

∣ x - 6 ∣ = 0.03

∣ x - 6 ∣ = 0.04

- 8 ∣ y + 5 ∣ = - 4

∣ x - 4 ∣ - 7 = 17

What is the answer to 4-3|5x-7|=-2 ?
The answer to 4-3|5x-7|=-2 is x=1\lor x= 9/5
Solve for x: 4-3|5x-7|=-2
The solution is x=1\lor x= 9/5