What is the answer to 6-2|7x-3|=-4 ?

The answer to 6-2|7x-3|=-4 is x=-2/7 \lor x= 8/7

Solve for x: 6-2|7x-3|=-4

The solution is x=-2/7 \lor x= 8/7

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6 - 2 ∣ 7 x - 3 ∣ = - 4

x = - \frac{2}{7} or x = \frac{8}{7}

Decimal

x = - 0.28571 \dots, x = 1.14285 \dots

Solution steps

6 - 2 ∣ 7 x - 3 ∣ = - 4

Move

6

to the right side

- 2 ∣ 7 x - 3 ∣ = - 10

Divide both sides by

- 2

∣ 7 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 3 = - 5 or 7 x - 3 = 5

7 x - 3 = - 5 or 7 x - 3 = 5

x = - \frac{2}{7} or x = \frac{8}{7}

∣ x + 7 ∣ = 7

- 4 ∣ 2 v + 2 ∣ = 0

∣ 7 x + 5 ∣ + 2 = 0

3 ∣ 4 - 17 x ∣ = 12

4 - 4 ∣ 7 u - 56 ∣ = - 52

What is the answer to 6-2|7x-3|=-4 ?
The answer to 6-2|7x-3|=-4 is x=-2/7 \lor x= 8/7
Solve for x: 6-2|7x-3|=-4
The solution is x=-2/7 \lor x= 8/7