What is the answer to |5-7x|-8=-1 ?

The answer to |5-7x|-8=-1 is x=-2/7 \lor x= 12/7

Solve for x: |5-7x|-8=-1

The solution is x=-2/7 \lor x= 12/7

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∣ 5 - 7 x ∣ - 8 = - 1

x = - \frac{2}{7} or x = \frac{12}{7}

Decimal Notation

x = - 0.28571 \dots, x = 1.71428 \dots

Solution steps

∣ 5 - 7 x ∣ - 8 = - 1

Move

8

to the right side

∣ 5 - 7 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{2}{7} or x = \frac{12}{7}

∣ 2 (x + 1) + 4 ∣ = 10

x^{2} + 7 x - 4 = 4

∣ 3 x - 6 ∣ = 10

- 0.3 ∣ 3 + 8 x ∣ = 0.9

∣ 5 x ∣ = 6 - x

What is the answer to |5-7x|-8=-1 ?
The answer to |5-7x|-8=-1 is x=-2/7 \lor x= 12/7
Solve for x: |5-7x|-8=-1
The solution is x=-2/7 \lor x= 12/7