What is the answer to 6-|4-8x|=-12 ?

The answer to 6-|4-8x|=-12 is x=-7/4 \lor x= 11/4

Solve for x: 6-|4-8x|=-12

The solution is x=-7/4 \lor x= 11/4

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6 - ∣ 4 - 8 x ∣ = - 12

x = - \frac{7}{4} or x = \frac{11}{4}

Decimal Notation

x = - 1.75, x = 2.75

Solution steps

6 - ∣ 4 - 8 x ∣ = - 12

Move

6

to the right side

- ∣ 4 - 8 x ∣ = - 18

Divide both sides by

- 1

∣ 4 - 8 x ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 8 x = - 18 or 4 - 8 x = 18

4 - 8 x = - 18 or 4 - 8 x = 18

x = - \frac{7}{4} or x = \frac{11}{4}

∣ 5 x + 9 ∣ - 6 = - 5

∣ 2 x + 5 ∣ + 3 x = 0

∣ 11 x + 2 ∣ = x - 1

\frac{2}{3} x - 6 = 12

x^{3} = - 1

What is the answer to 6-|4-8x|=-12 ?
The answer to 6-|4-8x|=-12 is x=-7/4 \lor x= 11/4
Solve for x: 6-|4-8x|=-12
The solution is x=-7/4 \lor x= 11/4