What is the answer to |8x-7|-1=10 ?

The answer to |8x-7|-1=10 is x=-1/2 \lor x= 9/4

Solve for x: |8x-7|-1=10

The solution is x=-1/2 \lor x= 9/4

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∣ 8 x - 7 ∣ - 1 = 10

x = - \frac{1}{2} or x = \frac{9}{4}

Decimal Notation

x = - 0.5, x = 2.25

Solution steps

∣ 8 x - 7 ∣ - 1 = 10

Move

1

to the right side

∣ 8 x - 7 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x - 7 = - 11 or 8 x - 7 = 11

8 x - 7 = - 11 or 8 x - 7 = 11

x = - \frac{1}{2} or x = \frac{9}{4}

lo g_{0.5} (7 x + 5) \leq lo g_{0.5} (5 x - 3)

3 ∣ 2 x - 9 ∣ - 5 < 16

2 = - 35 \cdot (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2})

12 x^{2} - 7 x - 10

(- 125)^{- \frac{1}{3}}

What is the answer to |8x-7|-1=10 ?
The answer to |8x-7|-1=10 is x=-1/2 \lor x= 9/4
Solve for x: |8x-7|-1=10
The solution is x=-1/2 \lor x= 9/4