What is the answer to 3|4-7x|-10=-1 ?

The answer to 3|4-7x|-10=-1 is x= 1/7 \lor x=1

Solve for x: 3|4-7x|-10=-1

The solution is x= 1/7 \lor x=1

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3 ∣ 4 - 7 x ∣ - 10 = - 1

x = \frac{1}{7} or x = 1

Decimal Notation

x = 0.14285 \dots, x = 1

Solution steps

3 ∣ 4 - 7 x ∣ - 10 = - 1

Move

10

to the right side

3 ∣ 4 - 7 x ∣ = 9

Divide both sides by

3

∣ 4 - 7 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 7 x = - 3 or 4 - 7 x = 3

4 - 7 x = - 3 or 4 - 7 x = 3

x = \frac{1}{7} or x = 1

- 8 - 3 ∣ - 5 x - 3 ∣ = 19

- 15 = ∣ 5 z ∣

∣ 4 + 7 k ∣ = 10

∣ m - 8 ∣ + 3 = 12

∣ 2 - 3 t ∣ + 6 = 20

What is the answer to 3|4-7x|-10=-1 ?
The answer to 3|4-7x|-10=-1 is x= 1/7 \lor x=1
Solve for x: 3|4-7x|-10=-1
The solution is x= 1/7 \lor x=1